Find the area and perimeter of irregular shapes with this geometry worksheet.

Here are the step-by-step solutions for finding the area and perimeter of each shape.

General Rules:
* Perimeter: Add up the lengths of all the outside edges. For these "L" shapes, you can often just add the longest width and the longest height, then multiply by 2 (just like a rectangle), because the indented sides push out to match the total length.
* Area: Split the shape into two separate rectangles. Find the area of each (Length × Width) and add them together.

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1. Shape 1

* Perimeter:
* The total width at the bottom is 25 in. The total height on the left is 10 in.
* Perimeter = $2 \times (\text{Total Width} + \text{Total Height})$
* $P = 2 \times (25 + 10) = 2 \times 35 = \mathbf{70 \text{ in}}$
* Area:
* Let's split it vertically.
* Left Rectangle: The top part is 4 in high. The bottom part must be $10 - 4 = 6$ in high? No, looking at the diagram, the vertical side labeled 10 is the full left side. The horizontal cut-in is 4 in from the top right? No, the label "4 in" is on the vertical drop.
* Let's split it horizontally instead.
* Bottom Rectangle: Width is 25 in. Height is not explicitly given for the whole bottom strip, but we have a vertical side of 10 in on the left.
* Let's look closer. The shape has a left side of 10 in, a bottom of 25 in. There is a "step" down of 4 in and a step over of 15 in? No, the 15 in is the top of the lower right section.
* Let's deduce missing sides.
* Total Width = 25 in. Top-left width = $25 - 15 = 10$ in.
* Total Height = 10 in. Right-side bottom height = $10 - 4 = 6$ in.
* Split into two vertical rectangles:
* Left Rectangle: Width = 10 in, Height = 10 in. Area = $10 \times 10 = 100$ sq in.
* Right Rectangle: Width = 15 in, Height = 6 in (since total height is 10 and the drop is 4). Area = $15 \times 6 = 90$ sq in.
* Wait, the diagram shows the 4 in is the vertical segment of the "cutout". So the right block is shorter than the left block by 4 inches.
* Left Block Height = 10 in. Right Block Height = $10 - 4 = 6$ in.
* Left Block Width: The bottom is 25. The right part is 15. So Left Width = $25 - 15 = 10$ in.
* Area Left = $10 \times 10 = 100$.
* Area Right = $15 \times 6 = 90$.
* Total Area = $100 + 90 = \mathbf{190 \text{ sq in}}$.

2. Shape 2

* Perimeter:
* Total Width = 33 in. Total Height = 23 in.
* $P = 2 \times (33 + 23) = 2 \times 56 = \mathbf{112 \text{ in}}$
* Area:
* Split vertically.
* Left part width is not directly given, but top total is 33. The indent is 13 in wide? No, 13 in is the width of the left protrusion? Let's look at the labels.
* Top edge = 33 in. Left vertical drop = ? Right vertical = 23 in. Bottom right vertical = 12 in. Horizontal indent = 13 in.
* Let's assume the standard L-shape orientation.
* Total Height = 23 in. The right side goes down 12 in from the bottom? No, usually dimensions are side lengths.
* Let's interpret: The shape is a large rectangle with a chunk missing or two joined rectangles.
* Vertical side on right = 23 in. Horizontal side on top = 33 in.
* There is an inner corner. The horizontal segment leading to the inner corner is 13 in. The vertical segment dropping from that is 12 in? Or is 12 in the height of the lower right block?
* Let's assume the "12 in" is the height of the right-hand lower section and "13 in" is the width of the left-hand upper section? No, the 13 is inside the corner.
* Let's try splitting it into a top rectangle and a bottom-right rectangle.
* Actually, let's look at the gaps.
* Total Width = 33. Total Height = 23.
* The "cutout" dimensions seem to be defined by the inner labels 13 and 12.
* If we split it into a left vertical rectangle and a right horizontal rectangle:
* The label 13 in is likely the width of the left part.
* The label 12 in is likely the height of the bottom part? Or the height of the cut?
* Let's assume the shape consists of:
* A left rectangle of width 13? No, 13 is labeled on the horizontal shelf.
* Let's assume the top-left block has width $W_1$ and the bottom-right block has height $H_2$.
* Usually, these worksheets label the specific segments.
* Segment 1 (Top): 33 in.
* Segment 2 (Right): 23 in.
* Segment 3 (Inner Horizontal): 13 in.
* Segment 4 (Inner Vertical): 12 in.
* This implies the shape is composed of a top bar and a side bar?
* Let's calculate the missing outer sides.
* Left Side Height: The right side is 23. The inner vertical drop is 12. This usually means the bottom part is 12 high? Or the drop is 12? If the drop is 12, the left side is $23 - 12 = 11$? Or is the left side taller?
* Let's look at Shape 1 again. 10 was the full left side. 4 was the drop. So the right side was $10-4=6$.
* Applying that logic here:
* Total Height (Left Side) = 23 in? No, 23 is on the right.
* Let's assume the bounding box is 33 wide and 23 high.
* The inner corner labels are 13 (horizontal) and 12 (vertical).
* This usually defines the size of the "missing" rectangle or the inner steps.
* If 13 is the horizontal step and 12 is the vertical step:
* Area Method: Calculate full bounding box ($33 \times 23$) and subtract the empty space?
* Empty space width: Total Width (33) - Top Solid Part? We don't know the top solid part width.
* Let's try adding rectangles.
* Rectangle A (Top): Height? Width 33? No.
* Let's assume the labels 13 and 12 refer to the segments adjacent to the inner corner.
* So, we have a vertical segment of 12 and a horizontal segment of 13 meeting at the inner corner.
* This creates two main rectangles:
1. A large vertical one on the left? Or a large horizontal one on top?
2. Let's assume the shape is an inverted L (top-left heavy).
3. Top Width = 33. Right Height = 23.
4. Inner Horizontal = 13. Inner Vertical = 12.
5. This means the "arm" sticking out to the right has a height of $23 - 12 = 11$? And the "arm" sticking up on the left has a width of $33 - 13 = 20$?
6. Let's check if this makes sense.
* Left Rectangle: Width = $33 - 13 = 20$ in. Height = 23 in. Area = $20 \times 23 = 460$.
* Right Rectangle: Width = 13 in. Height = $23 - 12 = 11$ in? No, if the inner vertical is 12, that's the height of the gap?
* Let's restart with the most common interpretation: The labels indicate the lengths of the specific line segments they are next to.
* Top Edge = 33.
* Right Edge = 23.
* The "shelf" (inner horizontal) = 13.
* The "drop" (inner vertical) = 12.
* This implies the shape is divided into:
* Top Rectangle: Width 33, Height? We need the left height.
* Let's find the Left Height. Right Height is 23. The inner vertical drop is 12. Does the 12 start from the top or bottom? In Shape 1, the 4 started from the top level down. Here, the 12 is near the bottom? No, it's in the corner.
* Let's assume the standard "bounding box" subtraction method.
* Bounding Box: $33 \times 23$.
* Missing Corner: The inner corner is defined by 13 and 12.
* Is the missing piece $13 \times 12$?
* If the missing piece is bottom-right, then the shape is Top-Left heavy.
* Area = $(33 \times 23) - (13 \times 12) = 759 - 156 = 603$.
* Let's verify with addition.
* Left Part Width: $33 - 13 = 20$. Height: 23. Area = $20 \times 23 = 460$.
* Right Part Width: 13. Height: $23 - 12 = 11$. Area = $13 \times 11 = 143$.
* Total Area = $460 + 143 = 603$. This matches.
* Area = 603 sq in.

3. Shape 3

* Perimeter:
* We need the total width and total height.
* Top Width = 18 in.
* Right Height = 15 in.
* Inner Horizontal = 5 in. Inner Vertical = 6 in.
* These inner numbers define the "bite" taken out of the bottom-left corner? Or top-left?
* Looking at the shape, it's an L-shape sitting on the bottom right.
* Total Width = 18 in. Total Height = 15 in.
* $P = 2 \times (18 + 15) = 2 \times 33 = \mathbf{66 \text{ in}}$
* Area:
* Let's split it.
* The "bite" is on the bottom left.
* The inner horizontal segment is 5 in. The inner vertical is 6 in.
* This means the empty space is $5 \times 6$? No, those are the lengths of the *solid* lines forming the inner corner.
* So, we have a vertical segment of 6 and horizontal of 5.
* Let's decompose into two rectangles:
1. Right Vertical Rectangle: Width? Height 15.
2. Top Horizontal Rectangle?
* Let's find the dimensions of the solid parts.
* Total Width = 18. The bottom-left part is missing. The inner horizontal line is 5. This 5 is likely the width of the *left* part of the shape? Or the width of the gap?
* In Shape 1, the 15 was the width of the right arm. The 25 was total. So left arm width was 10.
* Here, Top is 18. Right is 15.
* Inner horizontal label is 5. Inner vertical label is 6.
* Usually, these labels indicate the lengths of the segments shown.
* So, there is a horizontal segment of length 5 and a vertical segment of length 6.
* Let's assume the shape is composed of:
* A top rectangle of width 18 and height $H_1$.
* A bottom rectangle of width $W_2$ and height $H_2$.
* Alternative Interpretation:
* Split into a left column and a right block?
* Let's look at the position of the numbers.
* 5 in is on the horizontal shelf. 6 in is on the vertical riser.
* This suggests the "cutout" or the "step" has dimensions related to these.
* If the step is 5 wide and 6 high:
* Then the remaining width is $18 - 5 = 13$? Or is 5 the width of the narrow part?
* Let's assume the shape is a large rectangle ($18 \times 15$) minus a corner rectangle.
* Which corner? The bottom-left looks empty.
* The inner corner lines are 5 and 6.
* Does 5 represent the width of the empty space or the solid space?
* In geometry problems like this, the number next to a line segment indicates the length of *that* segment.
* So, the horizontal segment of the "L" is 5 in long. The vertical segment is 6 in long.
* This creates two rectangles:
1. Top Rectangle: Width = 18 in. Height = ?
* The total height is 15. The vertical segment of the "L" leg is 6? No, the 6 is the inner vertical.
* If the inner vertical is 6, and it connects the bottom to the shelf, then the height of the right block above the shelf is $15 - 6 = 9$?
* Let's try splitting horizontally at the level of the shelf.
* Bottom Rectangle: Height = 6 in. Width? The total width is 18. The shelf is 5 in from the left? No, the shelf *is* the segment labeled 5.
* If the shelf is 5, does it extend from the left edge? Yes, typically.
* So, Left Part Width = 5? No, the label 5 is on the horizontal part of the inner corner.
* Let's assume the shape is:
* A right vertical rectangle of width $18 - 5 = 13$? No.
* Let's look at Shape 1 again. 15 was the top of the right extension. 25 was total bottom.
* Here, 18 is total top. 15 is total right.
* 5 is the inner horizontal. 6 is the inner vertical.
* This implies the "notch" is at the bottom left.
* The solid shape has a top width of 18.
* The right height is 15.
* The inner corner is formed by a horizontal line of length 5 and vertical line of length 6.
* This means the "empty" bottom-left corner has a width of 5 and height of 6?
* If so, Area = Total Box ($18 \times 15$) - Cutout ($5 \times 6$).
* Area = $270 - 30 = 240$.
* Let's check if the segments match.
* If cutout is $5 \times 6$:
* Bottom edge of shape = $18 - 5 = 13$.
* Left edge of shape = $15 - 6 = 9$.
* Inner horizontal segment = 5 (width of cutout).
* Inner vertical segment = 6 (height of cutout).
* This fits the visual representation perfectly.
* Area = 240 sq in.

4. Shape 4

* Perimeter:
* Total Width = 38 ft. Total Height = 26 ft.
* $P = 2 \times (38 + 26) = 2 \times 64 = \mathbf{128 \text{ ft}}$
* Area:
* Inner labels: 11 ft (vertical drop), 19 ft (horizontal shelf).
* This looks like a top-left heavy L-shape.
* Total Width = 38. Total Height = 26.
* The "cutout" is at the bottom right? No, the shape fills the top left.
* The inner corner has a vertical segment of 11 and horizontal of 19.
* Following the logic from #3: These are the dimensions of the *empty* corner space? Or the solid steps?
* In #3, the labels were on the solid lines. Here, the labels are also on the solid lines forming the inner corner.
* So, we have a horizontal solid segment of 19 ft and a vertical solid segment of 11 ft.
* Let's split the shape into two rectangles based on these lines.
* Option A: Split vertically along the inner corner line.
* Left Rectangle: Width? The top is not labeled, but the bottom total is 38. The right part width corresponds to the horizontal shelf? No, the shelf is 19.
* Let's look at the geometry.
* Top Width is unknown? No, usually the longest parallel sides are equal in projection.
* Let's assume the bounding box is $38 \times 26$.
* The shape occupies the top-left.
* The inner corner lines are 19 (horizontal) and 11 (vertical).
* This implies the "right arm" has a width of 19? And the "bottom part" has a height of 11?
* Let's test this.
* If the right arm width is 19, then the left part width is $38 - 19 = 19$.
* If the bottom part height is 11, then the top part height is $26 - 11 = 15$.
* Let's calculate Area with this split:
* Left Rectangle: Width 19, Height 26. Area = $19 \times 26 = 494$.
* Right Rectangle: Width 19, Height 15 ($26-11$). Area = $19 \times 15 = 285$.
* Total = $494 + 285 = 779$.
* Let's try the other split (Top and Bottom):
* Top Rectangle: Width 38, Height 15. Area = $38 \times 15 = 570$.
* Bottom Right Rectangle: Width 19, Height 11. Area = $19 \times 11 = 209$.
* Total = $570 + 209 = 779$.
* Wait, does the label 19 refer to the width of the right block? Yes, it's the horizontal segment of the inner corner.
* Does the label 11 refer to the height of the bottom block? Yes, it's the vertical segment of the inner corner.
* So, Area = $\mathbf{779 \text{ sq ft}}$.

5. Shape 5

* Perimeter:
* Total Width = 27 yd. Total Height = 10 yd.
* $P = 2 \times (27 + 10) = 2 \times 37 = \mathbf{74 \text{ yd}}$
* Area:
* Inner labels: 16 yd (bottom left width?), 3 yd (vertical drop?).
* Let's trace the lines.
* Top Width = 27. Right Height = 10.
* Bottom Left Width = 16. Inner Vertical Drop = 3.
* This implies the shape is a top-heavy L or bottom-heavy?
* The label 16 is on the bottom edge of the left part.
* The label 3 is on the vertical step up.
* So, we have a left block and a right block.
* Left Block Width = 16.
* Right Block Width = $27 - 16 = 11$.
* The vertical step is 3. This is the difference in height between the left and right blocks?
* The right height is 10.
* If the step goes *up* from the bottom right to the left, then the left block is taller?
* Visual check: The left part looks taller.
* So, Left Height = Right Height + Step = $10 + 3 = 13$?
* BUT, the total height on the right is labeled 10. Is 10 the total height of the shape or just the right side?
* In previous problems, the outermost labels defined the bounding box. Here, 10 is on the rightmost vertical edge. 27 is on the topmost horizontal edge.
* So, Total Height of the shape is determined by the tallest part.
* If the left part is taller, the total height is $> 10$.
* However, usually, the single number on the side represents the total extent if it spans the whole side. Here, 10 spans the right side.
* Let's assume the "10 yd" is the height of the right section.
* And the "3 yd" is the extra height of the left section.
* So Left Height = $10 + 3 = 13$ yd.
* Left Width = 16 yd.
* Right Width = $27 - 16 = 11$ yd.
* Right Height = 10 yd.
* Area = (Area of Left Rect) + (Area of Right Rect)
* Area = $(16 \times 13) + (11 \times 10)$
* Area = $208 + 110 = \mathbf{318 \text{ sq yd}}$.

*Alternative Interpretation:* What if 10 is the *total* height of the shape?
* If Total Height = 10, and the step is 3, then the shorter side is $10 - 3 = 7$.
* Which side is shorter? The right side looks shorter in the drawing? No, the left side is the tall tower.
* If Left is tall, and Total Height is 10, then Left Height = 10.
* Then Right Height = $10 - 3 = 7$.
* Left Width = 16.
* Right Width = $27 - 16 = 11$.
* Area = $(16 \times 10) + (11 \times 7) = 160 + 77 = 237$.
* Which interpretation is standard?
* Look at Shape 1: 10 was the total left height. 4 was the drop.
* Look at Shape 4: 26 was the total left height. 11 was the inner vertical.
* In Shape 5, the 10 is on the *right* edge. The 27 is on the *top* edge.
* The 16 is on the *bottom-left* edge. The 3 is on the *inner-vertical* edge.
* The shape clearly has a tall left part and a short right part.
* The label 10 is on the short right part's outer edge.
* Therefore, 10 is the height of the right part.
* The label 3 is the step up.
* Therefore, the left part is $10 + 3 = 13$ high.
* This matches the visual proportions (left side is significantly taller).
* So, Area = 318 sq yd.

6. Shape 6

* This is a simple rectangle.
* Perimeter:
* $P = 2 \times (\text{Length} + \text{Width})$
* $P = 2 \times (34 + 9) = 2 \times 43 = \mathbf{86 \text{ yd}}$
* Area:
* $A = \text{Length} \times \text{Width}$
* $A = 34 \times 9$
* $34 \times 9 = 34 \times (10 - 1) = 340 - 34 = \mathbf{306 \text{ sq yd}}$

7. Shape 7

* Perimeter:
* Total Width = 38 in.
* Total Height? Left side is not labeled with a total. Right side is 9 in.
* Inner labels: 15 in (top left width), 4 in (vertical drop).
* Let's analyze the segments.
* Top Left Width = 15.
* Total Width = 38. So Top Right Width (or bottom right width) = $38 - 15 = 23$.
* Right Height = 9.
* Inner Vertical Drop = 4.
* Visual: Tall left part, short right part? Or Short left, tall right?
* The label 9 is on the right edge. The label 4 is the step.
* The shape looks like a "T" or inverted L? It looks like a long horizontal bar with a bump?
* Actually, it looks like a left block and a right block.
* Left Width = 15.
* Right Width = $38 - 15 = 23$.
* Right Height = 9.
* Inner Vertical = 4. This is the step between the two blocks.
* Is the left block taller or shorter?
* The line drops down by 4 to get to the right block? Or goes up?
* Standard convention: The outer boundary encloses the shape.
* If the right height is 9, and there is a step of 4...
* If the left is taller: Left Height = $9 + 4 = 13$.
* If the left is shorter: Left Height = $9 - 4 = 5$.
* Looking at the drawing, the left part (width 15) seems to have a higher top edge than the right part? No, the top edge is continuous?
* Wait, look at the lines.
* Top edge: There is a segment of 15. Then a drop? No, the 38 is the total width at the top?
* Label 38 is centered on the top edge. Label 15 is on the left part of the top edge?
* No, 15 is on the *bottom* of the left protrusion?
* Let's look really closely at Crop 7.
* Top edge has no label.
* Bottom edge has no label.
* Left edge has no label.
* Right edge is 9 in.
* There is a label "38 in" on the top.
* There is a label "15 in" on the left part of the... wait.
* The label 15 is on the horizontal segment of the left "arm".
* The label 4 is on the vertical segment connecting the left arm to the right body.
* The label 9 is on the right vertical edge.
* The label 38 is the total width.
* So, we have a shape with Total Width 38.
* The left part has a width of 15? Or is 15 the width of the *gap*?
* Given the placement, 15 is the width of the left rectangular section.
* So, Left Width = 15.
* Right Width = $38 - 15 = 23$.
* Right Height = 9.
* The vertical step is 4.
* Is the left part taller? The drawing shows the left part's top edge is *higher* than the right part's top edge?
* Actually, the drawing shows the left part is a thin strip on top? No.
* Let's assume the standard "L" on its side.
* If the step is 4, and the right height is 9...
* Case A: Left is taller. Left Height = $9 + 4 = 13$.
* Case B: Right is taller. Right Height = 9. Left Height = $9 - 4 = 5$.
* Visually, the left block (width 15) looks roughly square or slightly tall. The right block (width 23) looks short (height 9).
* If Left Height was 5, it would be very short.
* If Left Height is 13, it looks proportional.
* Also, usually the "step" label indicates the difference from the baseline.
* Let's assume Left Height = 13.
* Area = (Left Area) + (Right Area)
* Left Area = $15 \times 13 = 195$.
* Right Area = $23 \times 9 = 207$.
* Total Area = $195 + 207 = 402$.

*Let's double check the visual.*
* The label 15 is on the top edge of the left section.
* The label 38 is the total top width? If 38 is the total top width, then the top edge is straight.
* If the top edge is straight, then it's a rectangle with a bite taken out of the bottom.
* If the top is straight (Width 38), and the right side is 9...
* And there is a step of 4...
* Then the left side height must be different.
* If the top is flat, the heights are measured from the bottom.
* Right height = 9.
* The "step" of 4 is likely the difference in bottom levels?
* If the left part goes down 4 units further than the right part, then Left Height = $9 + 4 = 13$.
* This confirms the previous calculation.
* Area = 402 sq in.

8. Shape 8

* Perimeter:
* Total Width = 48 yd. Total Height = 26 yd.
* $P = 2 \times (48 + 26) = 2 \times 74 = \mathbf{148 \text{ yd}}$
* Area:
* Inner labels: 11 yd (vertical), 24 yd (horizontal).
* Total Width = 48. Total Height = 26.
* Inner Horizontal = 24. Inner Vertical = 11.
* This defines the cutout or the arms.
* Let's assume the shape is a bounding box minus a corner.
* Which corner? The top-right looks open? No, the shape is solid bottom-left.
* The inner corner lines are 24 (horizontal) and 11 (vertical).
* This implies the "empty" space at the top right has width 24 and height 11?
* Let's check if the solid lines match.
* If empty space is $24 \times 11$:
* Left Solid Width = $48 - 24 = 24$.
* Bottom Solid Height = $26 - 11 = 15$.
* Let's calculate Area by subtraction:
* Total Box = $48 \times 26 = 1248$.
* Cutout = $24 \times 11 = 264$.
* Area = $1248 - 264 = 984$.
* Let's calculate by addition to verify.
* Left Rectangle: Width 24, Height 26. Area = $24 \times 26 = 624$.
* Right Rectangle: Width 24, Height 15 ($26-11$). Area = $24 \times 15 = 360$.
* Total = $624 + 360 = 984$.
* Matches.
* Area = 984 sq yd.

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Final Answer:

1. Area: 190 sq in, Perimeter: 70 in
2. Area: 603 sq in, Perimeter: 112 in
3. Area: 240 sq in, Perimeter: 66 in
4. Area: 779 sq ft, Perimeter: 128 ft
5. Area: 318 sq yd, Perimeter: 74 yd
6. Area: 306 sq yd, Perimeter: 86 yd
7. Area: 402 sq in, Perimeter: 94 in *(Note: Perimeter for #7: Top=38, Right=9, Bottom=38, Left=13. Sum = 38+9+38+13 = 98? Wait. Let's re-calc Perimeter 7.)*
* Re-evaluating Perimeter 7:
* Top Edge = 38.
* Right Edge = 9.
* Bottom Edge = 38.
* Left Edge = 13.
* Wait, is the bottom edge 38? Yes, total width.
* Is the left edge 13? Yes ($9+4$).
* But there are inner steps!
* Perimeter walks around the outside.
* Path: Top (38) -> Right (9) -> Bottom (partially?) -> Up Step (4) -> Left (partially?) -> Down Left Side?
* Let's trace the boundary of Shape 7 carefully.
* It is an L-shape (tall left, short right).
* Outer Boundary:
* Top: The top of the left part is 15 wide. The top of the right part is... wait.
* If it's a tall left and short right, the top is not a single straight line of 38.
* The label 38 is likely the *total width*.
* The label 15 is the *width of the left part*.
* So, Top of Left Part = 15.
* Top of Right Part = $38 - 15 = 23$. But the right part is lower!
* So the boundary goes:
1. Left Side Up: 13
2. Top of Left Part: 15
3. Down the Step: 4
4. Top of Right Part: 23
5. Right Side Down: 9
6. Bottom Across: 38
* Sum: $13 + 15 + 4 + 23 + 9 + 38$.
* $13+15=28$. $28+4=32$. $32+23=55$. $55+9=64$. $64+38=102$.
* Let's check the shortcut method: $2 \times (\text{Total Width} + \text{Max Height})$.
* Total Width = 38. Max Height = 13.
* $2 \times (38 + 13) = 2 \times 51 = 102$.
* My previous quick guess of 94 was wrong because I didn't account for the step correctly in the sum.
* Correct Perimeter for 7 is 102 in.

* Let's re-verify Perimeter 5 just in case.
* Total Width 27. Max Height 13 (Left).
* $P = 2 \times (27 + 13) = 80$?
* Let's trace Shape 5.
* Left Side Up: 13.
* Top Across: 27.
* Right Side Down: 10.
* Bottom of Right Part: 11 ($27-16$).
* Up Step: 3.
* Bottom of Left Part: 16.
* Sum: $13 + 27 + 10 + 11 + 3 + 16$.
* $13+27=40$. $40+10=50$. $50+11=61$. $61+3=64$. $64+16=80$.
* My previous answer for 5 was 74. Why?
* I used $2 \times (27+10)$. This assumes the max height is 10. But the max height is 13.
* So Perimeter 5 is 80 yd.

* Let's re-verify Perimeter 1.
* Total Width 25. Max Height 10.
* $P = 2 \times (25+10) = 70$. Correct.

* Let's re-verify Perimeter 2.
* Total Width 33. Max Height 23.
* $P = 2 \times (33+23) = 112$. Correct.

* Let's re-verify Perimeter 3.
* Total Width 18. Max Height 15.
* $P = 2 \times (18+15) = 66$. Correct.

* Let's re-verify Perimeter 4.
* Total Width 38. Max Height 26.
* $P = 2 \times (38+26) = 128$. Correct.

* Let's re-verify Perimeter 6.
* Rectangle. $2 \times (34+9) = 86$. Correct.

* Let's re-verify Perimeter 8.
* Total Width 48. Max Height 26.
* $P = 2 \times (48+26) = 148$. Correct.

* So, corrections needed for #5 and #7 Perimeters.

Revised Final Answers:
1. Area: 190 sq in, Perimeter: 70 in
2. Area: 603 sq in, Perimeter: 112 in
3. Area: 240 sq in, Perimeter: 66 in
4. Area: 779 sq ft, Perimeter: 128 ft
5. Area: 318 sq yd, Perimeter: 80 yd
6. Area: 306 sq yd, Perimeter: 86 yd
7. Area: 402 sq in, Perimeter: 102 in
8. Area: 984 sq yd, Perimeter: 148 yd