Math worksheet for calculating area and perimeter of irregular polygons with various shapes and measurements.

Here are the step-by-step solutions for each problem on the worksheet.

Problem 1

Area:
We can split this L-shape into two rectangles.
1. Left Rectangle: The width is $8 \text{ cm}$ and the height is $10 \text{ cm}$.
$$\text{Area} = 8 \times 10 = 80 \text{ cm}^2$$
2. Right Rectangle: The total top width is $18 \text{ cm}$. Since the left part is $8 \text{ cm}$, the right part is $18 - 8 = 10 \text{ cm}$. The height is given as $4 \text{ cm}$.
$$\text{Area} = 10 \times 4 = 40 \text{ cm}^2$$
3. Total Area: $80 + 40 = 120 \text{ cm}^2$

Perimeter:
Add all the outer sides together:
$$18 + 4 + 10 + 8 + 6 (\text{inner vertical}) + 10 (\text{inner horizontal}) = 56 \text{ cm}$$
*(Note: For L-shapes, the perimeter is often equal to the bounding box: $(18+10) \times 2 = 56$)*

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Problem 2

Area:
Imagine a large rectangle with a piece cut out from the top.
1. Large Rectangle: The total width is $4 + 6 + 4 = 14 \text{ in}$. The height is $8.5 \text{ in}$.
$$\text{Area} = 14 \times 8.5 = 119 \text{ in}^2$$
2. Cut-out Rectangle: Width is $6 \text{ in}$, height is $2.5 \text{ in}$.
$$\text{Area} = 6 \times 2.5 = 15 \text{ in}^2$$
3. Total Area: $119 - 15 = 104 \text{ in}^2$

Perimeter:
Add all outer sides:
Bottom ($14$) + Right ($8.5$) + Top Right ($4$) + Inner Down ($2.5$) + Inner Across ($6$) + Inner Up ($2.5$) + Top Left ($4$) + Left ($8.5$).
$$14 + 8.5 + 4 + 2.5 + 6 + 2.5 + 4 + 8.5 = 50 \text{ in}$$

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Problem 3

Area:
Split into two vertical rectangles.
1. Left Rectangle: Width $12 \text{ in}$, Height $7 \text{ in}$.
$$\text{Area} = 12 \times 7 = 84 \text{ in}^2$$
2. Right Rectangle: Width $6 \text{ in}$. The total height is $19 \text{ in}$, so this part's height is $19 - 7 = 12 \text{ in}$.
$$\text{Area} = 6 \times 12 = 72 \text{ in}^2$$
3. Total Area: $84 + 72 = 156 \text{ in}^2$

Perimeter:
Sum of all outer edges:
Top ($12$) + Left ($7$) + Inner Horizontal ($6$) + Inner Vertical ($12$) + Bottom Right ($6$) + Right Side ($19$).
Wait, looking at the diagram: Top is 12, Left is 7. The bottom part sticks out 6 to the right. Total height is 19.
Let's trace the perimeter: Top ($12$) + Left ($7$) + Bottom-Left part of vertical ($12$, because $19-7$) + Bottom ($6$) + Right Side ($19$) + Top-Right horizontal connection? No, it's an L shape rotated.
Let's use the bounding box method or sum segments:
Top ($12$) + Left ($7$) + Inner Horizontal ($6$) + Inner Vertical ($12$) + Bottom ($6$) + Right ($19$).
Actually, let's look at the labels again.
Top width = 12. Left height = 7. Bottom width extension = 6. Total Right height = 19.
The bottom width of the left block is also 12.
Perimeter = Top ($12$) + Left ($7$) + Bottom of left block is internal? No.
Let's trace outside: Start top-left corner, go right 12, down... wait, the right side is taller.
Go Right 12, Down (part of right side?), Left 6, Down (part of right side?), Left...
Let's assume standard orientation:
Top edge: 12. Left edge: 7.
The shape goes down 7, then right 6? No, the "6 in" is labeled on the bottom protrusion.
Let's split it horizontally:
Top Rect: $12 \times 7 = 84$.
Bottom Rect attached to right? Or Left? The drawing shows the long part on the right.
So, Left part is $12 \times 7$. Right part hangs down.
Height of right part below the top section = $19 - 7 = 12$. Width of right part = 6.
Total Area = $84 + (6 \times 12) = 84 + 72 = 156 \text{ in}^2$.
Perimeter: Top ($12$) + Left ($7$) + Bottom of left section ($12-6=6$) + Inner Vertical ($12$) + Bottom of right section ($6$) + Right Side ($19$).
Sum: $12 + 7 + 6 + 12 + 6 + 19 = 62 \text{ in}$.

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Problem 4

Area:
Split into two rectangles vertically.
1. Left Rectangle: Width is $16.8 - 12.4 = 4.4 \text{ ft}$. Height is $8.1 \text{ ft}$.
$$\text{Area} = 4.4 \times 8.1 = 35.64 \text{ ft}^2$$
2. Right Rectangle: Width is $12.4 \text{ ft}$. Height is $13.2 \text{ ft}$.
$$\text{Area} = 12.4 \times 13.2 = 163.68 \text{ ft}^2$$
3. Total Area: $35.64 + 163.68 = 199.32 \text{ ft}^2$

Perimeter:
Sum of all outer sides:
Top ($16.8$) + Right ($13.2$) + Bottom ($12.4$) + Inner Vertical ($5.1$) + Inner Horizontal ($4.4$) + Left ($8.1$).
Check inner vertical: Total height right is 13.2. Left top is 8.1. The step down is labeled 5.1? No, 5.1 is the bottom segment height?
Looking at labels: Left side has two segments: top part height isn't labeled directly, but total left height corresponds to right height minus the step?
Actually, the label $8.1$ is the top-left vertical side. The label $5.1$ is the bottom-left vertical side? No, $5.1$ is next to the inner corner.
Let's look at the coordinates.
Leftmost vertical line: Top part is $8.1$. Bottom part is $5.1$? No, $5.1$ is the height of the lower block's left face?
Let's assume the shape is composed of a top block and bottom block or left/right.
Widths: Top total 16.8. Bottom right 12.4. So top left overhang is $16.8 - 12.4 = 4.4$. This matches the label "4.4 ft".
Heights: Right side total 13.2. Left side top segment 8.1. The remaining vertical drop is $13.2 - 8.1 = 5.1$. This matches the label "5.1 ft".
So the sides are:
Top: 16.8
Right: 13.2
Bottom: 12.4
Inner Vertical (up): 5.1
Inner Horizontal (left): 4.4
Left Vertical (up): 8.1
Perimeter = $16.8 + 13.2 + 12.4 + 5.1 + 4.4 + 8.1 = 60 \text{ ft}$.

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Problem 5

Area:
Split into three rectangles or one big one minus a hole? It's easier to split into three vertical strips or horizontal. Let's do horizontal slices.
1. Bottom Rectangle: Width $15.2$, Height $4.8$.
$$\text{Area} = 15.2 \times 4.8 = 72.96 \text{ in}^2$$
2. Middle Rectangle: The total width at the top is not fully clear, but we have a top part.
Let's try vertical splits.
Left part: Width? Total bottom is 15.2. Right part width is 5.7. Middle part width is 6.5? No, 6.5 is a horizontal dimension inside.
Let's look at the labels carefully.
Bottom width: 15.2.
Left height: 4.8.
Then it steps up. The horizontal step is 6.5? No, 6.5 is the width of the middle section?
Top right width: 5.7.
Total height on right: 17.8.

Let's decompose into 3 vertical columns:
Column 1 (Left): Height 4.8. Width?
Column 2 (Middle): Height? Width 6.5?
Column 3 (Right): Height 17.8. Width 5.7.

If Col 3 width is 5.7 and Col 2 width is 6.5, then Col 1 width = $15.2 - 6.5 - 5.7 = 3.0$.
Height of Col 2? The label 4.8 is on the far left. Is the middle section taller?
Usually, these diagrams imply steps.
Let's assume the shape is:
Left Block: Width 3.0, Height 4.8.
Middle Block: Width 6.5, Height ?
Right Block: Width 5.7, Height 17.8.

Wait, there is no height label for the middle block explicitly, but it looks like it shares the top with the right block? No, the right block is the tallest.
Is the "6.5 in" the width of the middle section? Yes.
Is the "4.8 in" the height of the left AND middle section? The line extends across. It seems the left and middle sections have the same height of 4.8?
If so:
Area Left+Middle = $(3.0 + 6.5) \times 4.8 = 9.5 \times 4.8 = 45.6$.
Area Right = $5.7 \times 17.8 = 101.46$.
Total Area = $45.6 + 101.46 = 147.06$.

*Alternative Interpretation:* Maybe the 6.5 is the height of the middle step up?
Let's look at the lines. The line labeled 6.5 is horizontal. So it's a width.
The line labeled 4.8 is vertical.
The line labeled 15.2 is horizontal (bottom).
The line labeled 17.8 is vertical (right).
The line labeled 5.7 is horizontal (top right).

So, Widths: $W_{left} + 6.5 + 5.7 = 15.2 \rightarrow W_{left} = 3.0$.
Heights: The right tower is 17.8. The left/middle base is 4.8.
Does the middle part go higher? The drawing shows the middle part is higher than the left part?
Actually, looking closely at crop 5, the line for 4.8 in is only on the far left edge. The middle section steps UP from the left section?
No, the line goes from the left edge, across the top of the first block, then steps up.
Wait, the label "6.5 in" is on the horizontal surface of the second tier.
The label "4.8 in" is the height of the first tier.
There is no label for the height of the second tier relative to the first, NOR the total height of the second tier.
HOWEVER, look at the right side. 17.8 is the total height.
Look at the top. 5.7 is the width of the highest tier.
Is the middle tier the same height as the right tier? No, the right tier is the highest.
Is there a missing label? Or is the middle tier height derived?
Let's re-read the diagram.
Maybe the shape is just two blocks? Left block and Right block?
No, there are 3 distinct widths indicated by the corners.

Let's look at the vertical alignment.
Right side height = 17.8.
Left side height = 4.8.
The middle section has width 6.5.
What is the height of the middle section?
Often in these problems, if a dimension is missing, it might be aligned with another.
Does the top of the middle section align with the top of the right section?
If yes, Height of Middle = 17.8.
Then Area = $(3.0 \times 4.8) + (6.5 \times 17.8) + (5.7 \times 17.8)$.
This would make the "step" between middle and right non-existent vertically, but the drawing shows a step up from left to middle, and flat to right?
Actually, the drawing shows:
1. Low platform on left (H=4.8).
2. Medium platform in middle? Or does it go straight to high?
The line labeled 6.5 is horizontal. Above it is empty space? No, it's the top of that section.
Then there is a vertical line going up to the top right section.
This implies the middle section is SHORTER than the right section.
But we don't have its height!

Let's look closer at the image.
Ah, I see a faint line or maybe the "6.5 in" label is positioned such that it implies the height? No, it's clearly horizontal.
Is it possible the left height (4.8) applies to the first two sections?
If the first two sections have height 4.8, and the third has height 17.8:
Area = $((3.0 + 6.5) \times 4.8) + (5.7 \times 17.8)$
Area = $(9.5 \times 4.8) + 101.46 = 45.6 + 101.46 = 147.06$.

Let's check the perimeter for this shape.
Sides:
Bottom: 15.2
Right: 17.8
Top Right: 5.7
Inner Vertical (down from top right): $17.8 - 4.8 = 13.0$ (Assuming middle is height 4.8)
Top Middle: 6.5
Inner Vertical (down from middle): 0? If middle is same height as left.
Top Left: 3.0
Left: 4.8

If the middle and left are the same height, the drawing would usually show a continuous line. The drawing shows a step up from left to middle.
Therefore, the middle is taller than the left.
Is the middle the same height as the right?
If Middle Height = Right Height = 17.8:
Then the "step" is only between Left and Middle.
Area = $(3.0 \times 4.8) + ((6.5 + 5.7) \times 17.8)$
Area = $14.4 + (12.2 \times 17.8) = 14.4 + 217.16 = 231.56$.

Which interpretation fits the visual?
The top of the middle section (width 6.5) looks LOWER than the top of the right section (width 5.7).
However, without a label, this is ambiguous.
Let's look at Problem 8. It has similar symmetry.
Let's look at Problem 5 again.
Is it possible the label "6.5 in" is the HEIGHT of the middle section?
If 6.5 is the height of the middle section (above the base? or total?):
If total height of middle is 6.5:
Area = $(3.0 \times 4.8) + (6.5 \times 6.5) + (5.7 \times 17.8)$.

Let's reconsider the standard layout of these worksheets.
Usually, all necessary numbers are provided.
We have: 4.8 (H-left), 15.2 (W-total), 6.5 (W-mid), 5.7 (W-right), 17.8 (H-right).
Missing: H-middle, W-left.
W-left is calculated as $15.2 - 6.5 - 5.7 = 3.0$.
H-middle is the issue.

Let's look at the vertical line separating the middle and right sections.
And the vertical line separating left and middle.
If I assume the "steps" are uniform or related? No.

Let's look really closely at the second crop.
The label "6.5 in" is above the horizontal line of the middle tier.
The label "4.8 in" is to the left of the first tier.
There is NO label for the height of the second tier.
HOWEVER, look at the right side of the middle tier. It goes up to the top tier.
Is it possible the shape is just TWO tiers?
Tier 1 (Bottom): Width 15.2, Height 4.8?
Tier 2 (Top): Width $6.5+5.7=12.2$? No, the 6.5 is indented.

Let's try one more common pattern:
Maybe the 6.5 is the REMAINING width?
No, it's centered on that segment.

Let's assume the question implies that the middle section and right section form a single block on top of the bottom strip?
No, the widths are different.

Let's look at the solution to Problem 8 for a clue on style.
Problem 8 is symmetric.

Back to 5. If I must guess, the most likely intended geometry in such ambiguous textbook problems where a middle height is missing is that the middle section aligns with the top section OR the middle section aligns with the bottom section.
Visually, the middle section is higher than the left.
The right section is higher than the middle.
This requires a height for the middle.

Wait! Look at the label "6.5 in" again.
Is it possible that 6.5 is the height of that vertical segment?
The text is horizontal, but sometimes labels are placed near the segment they measure.
The label "4.8 in" is next to the vertical edge.
The label "6.5 in" is above the horizontal edge.
The label "5.7 in" is above the horizontal edge.
The label "17.8 in" is next to the vertical edge.
The label "15.2 in" is below the horizontal edge.

Okay, what if the vertical segment between the middle top and right top is labeled? No.
What if the vertical segment between left top and middle top is labeled? No.

Let's calculate the perimeter assuming the "Missing Height" is derived from subtraction if we knew the total, but we don't.

Let's try a different decomposition.
Maybe the 6.5 is the width of the CUTOUT?
No.

Let's assume the standard "stacked boxes" where heights are cumulative?

Actually, there is a possibility that I am misinterpreting the lines.
What if the shape is:
A bottom rectangle of $15.2 \times 4.8$.
A top rectangle sitting on it?
Where is the top rectangle?
It spans the middle and right?
Width = $6.5 + 5.7 = 12.2$.
Height = $17.8 - 4.8 = 13.0$.
If this is the case, the top of the middle and right are FLUSH.
Does the drawing show them flush?
Looking at Crop 5: The line above "6.5 in" and the line above "5.7 in" appear to be at DIFFERENT levels. The right one is higher.

However, if they are different levels, the problem is unsolvable without the middle height.
In standardized tests, if a dimension is missing, it's often because two segments are equal.
Is the middle height equal to the left height? (Visually no).
Is the middle height equal to the right height? (Visually no).

Let's look at the numbers.
$17.8 - 4.8 = 13$.
Is it possible the middle height is 13? (i.e., aligned with top).
If aligned with top, the drawing is just misleading.
If aligned with bottom, the drawing is misleading.

Let's look at the Perimeter calculation for the "Aligned with Top" scenario (Flush top for mid/right):
Area = $(15.2 \times 4.8) + (12.2 \times 13) = 72.96 + 158.6 = 231.56$.
Perimeter = $15.2 (\text{bot}) + 17.8 (\text{right}) + 12.2 (\text{top}) + 13 (\text{inner left}) + 3.0 (\text{top left}) + 4.8 (\text{left}) = 56$.

Let's look at the "Three Steps" scenario again.
If I cannot solve it, I will provide the most logical geometric interpretation which is usually that unlabeled vertical intervals are defined by the other labels.
Wait, look at the left side of the middle block.
There is a vertical line going up from the 4.8 level.
There is NO label on it.

Let's try one other option:
Maybe the 6.5 is the TOTAL width of the top two sections?
No, 5.7 is separate.

Let's assume the question contains a typo and the middle section is the same height as the right section (making it a 2-step shape). This is a very common simplification in poorly drawn diagrams.
Assumption: The top of the middle section and the top of the right section are at the same height (17.8 in).

Area Calculation (Assumption: 2-step shape):
1. Bottom Rectangle: $15.2 \text{ in} \times 4.8 \text{ in} = 72.96 \text{ in}^2$.
2. Top Rectangle: Width = $6.5 + 5.7 = 12.2 \text{ in}$. Height = $17.8 - 4.8 = 13.0 \text{ in}$.
$$\text{Area} = 12.2 \times 13.0 = 158.6 \text{ in}^2$$
3. Total Area: $72.96 + 158.6 = 231.56 \text{ in}^2$.

Perimeter Calculation:
Outer boundary:
Bottom: 15.2
Right: 17.8
Top: $6.5 + 5.7 = 12.2$
Left side of top block: $17.8 - 4.8 = 13.0$
Top of bottom block (exposed part): $15.2 - 12.2 = 3.0$
Left side of bottom block: 4.8
Sum: $15.2 + 17.8 + 12.2 + 13.0 + 3.0 + 4.8 = 66.0 \text{ in}$.

*(Self-Correction/Refinement)*: If I look extremely closely at the original image, the line above the 6.5 is definitely lower than the line above the 5.7. This suggests a 3-step shape. If it is a 3-step shape, is there a hidden relationship?
Maybe the height of the middle step is half the remaining height? No.
Maybe the height of the middle step is equal to the bottom step (4.8)?
If Middle Height = 4.8 + 4.8 = 9.6?
Or Middle Total Height = 4.8? (Which means it's flat with the left, contradicting the drawing).

Let's look at Problem 8.
Problem 8 has a central gap.

Let's go with the 3-step interpretation but assume the middle height is missing and thus likely equal to the average or simply an error in my reading.
Wait, look at the label "6.5 in" again.
Is it possible that 6.5 is the vertical height of that middle section?
If the text "6.5 in" is measuring the vertical rise of the second step:
Then Height of Middle Section = $4.8 (\text{base}) + 6.5 (\text{rise}) = 11.3$?
Or is 6.5 the total height of that section?
Given the orientation of the text "6.5 in" is horizontal, it almost certainly measures width.

However, in many online answer keys for this specific worksheet ("Math Monks Irregular Polygons"), Problem 5 is often cited.
Let's check the math for: Middle Height = Right Height.
This is the most robust "solvable" path despite the drawing.

Final Decision for #5: I will proceed with the assumption that the top of the middle and right sections are aligned (Height 17.8), as this makes the problem solvable with the given numbers. If they were not aligned, a dimension is strictly missing.

Revised Plan for #5:
Area: 231.56 sq in.
Perimeter: 66 in.

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Problem 6

Area:
Split into two rectangles.
1. Top Rectangle: Width $18.8 \text{ ft}$, Height $5.5 \text{ ft}$.
$$\text{Area} = 18.8 \times 5.5 = 103.4 \text{ ft}^2$$
2. Bottom Rectangle: The total height is $25.5 \text{ ft}$. The top part is $5.5 \text{ ft}$, so the bottom part height is $25.5 - 5.5 = 20 \text{ ft}$.
The width of the bottom part? The top width is 18.8. The indentation is 4.2?
Label "4.2 ft" is on the horizontal shelf.
So the bottom right width is $18.8 - 4.2 = 14.6 \text{ ft}$.
$$\text{Area} = 14.6 \times 20 = 292 \text{ ft}^2$$
3. Total Area: $103.4 + 292 = 395.4 \text{ ft}^2$

Perimeter:
Sum of outer edges:
Top ($18.8$) + Right ($25.5$) + Bottom ($14.6$) + Inner Vertical ($20$) + Inner Horizontal ($4.2$) + Left ($5.5$).
Wait, Inner Vertical is the height of the bottom block? Yes, 20.
Sum: $18.8 + 25.5 + 14.6 + 20 + 4.2 + 5.5 = 88.6 \text{ ft}$.

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Problem 7

Area:
This is a large square with a rectangular bite taken out of the side.
1. Large Square: Side length $16 \text{ cm}$ (Left side) and $9 \text{ cm}$? No.
Left side is 16. Top side is 9.
Right side has two segments of 6.8 each. $6.8 + 6.8 = 13.6$.
The gap is in the middle.
The total height is 16. The two right-side segments sum to 13.6.
So the height of the "bite" is $16 - 13.6 = 2.4 \text{ cm}$.
The width of the "bite" is labeled as $5.5 \text{ cm}$.

Let's calculate the area by subtracting the bite from the bounding box.
Bounding Box Width: The top is 9. The bite goes inward.
The total width of the shape is 9?
The label 9 cm is on the top.
The label 5.5 cm is the depth of the bite.
So the shape fits in a $9 \times 16$ box?
Let's verify the bottom width. It should be 9 too.

Method: Subtraction
Area of Full Rectangle ($9 \times 16$) = $144 \text{ cm}^2$.
Area of Bite (Rectangle): Width $5.5 \text{ cm}$, Height $2.4 \text{ cm}$ (calculated as $16 - 6.8 - 6.8$).
$$\text{Bite Area} = 5.5 \times 2.4 = 13.2 \text{ cm}^2$$
Total Area: $144 - 13.2 = 130.8 \text{ cm}^2$.

Perimeter:
Outer boundary + Inner boundary of the bite? No, perimeter is the total distance around.
Start Top-Left, go clockwise:
Top: 9
Right Top: 6.8
Bite Ceiling: 5.5
Bite Back: 2.4
Bite Floor: 5.5
Right Bottom: 6.8
Bottom: 9
Left: 16
Sum: $9 + 6.8 + 5.5 + 2.4 + 5.5 + 6.8 + 9 + 16 = 61 \text{ cm}$.

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Problem 8

Area:
This is a large rectangle with two bites taken out of the sides? Or a central column?
It looks like a central column with two wings?
No, it looks like a rectangle with two rectangular notches on the left and right?
Actually, it looks like an "I" beam shape or H shape?
Let's trace it.
Left side: 16.8 m.
Top: Two segments of 3.8 m? With a gap?
The label 3.8 m is on the top left wing.
The label 3.8 m is on the top right wing.
The gap in the middle top is 4.4 m wide? No, 4.4 m is the height of the notch?
Label "4.4 m" is inside the top notch.
Label "8.8 m" is the width of the top notch?
Label "4.4 m" is inside the bottom notch.

Let's assume it's a large rectangle of Width $W$ and Height $16.8$.
Total Width = $3.8 (\text{left}) + 8.8 (\text{middle}) + 3.8 (\text{right}) = 16.4 \text{ m}$.
So Bounding Box is $16.4 \times 16.8$.

There are two notches:
1. Top Notch: Width 8.8 m, Height 4.4 m.
2. Bottom Notch: Width 8.8 m (assumed symmetric), Height 4.4 m.

Area Calculation:
Area of Large Rectangle: $16.4 \times 16.8 = 275.52 \text{ m}^2$.
Area of Top Notch: $8.8 \times 4.4 = 38.72 \text{ m}^2$.
Area of Bottom Notch: $8.8 \times 4.4 = 38.72 \text{ m}^2$.
Total Area: $275.52 - 38.72 - 38.72 = 198.08 \text{ m}^2$.

Perimeter Calculation:
Outer boundary of the bounding box + the extra vertical lines created by the notches.
Perimeter of Bounding Box ($16.4 \times 16.8$) = $2 \times (16.4 + 16.8) = 66.4 \text{ m}$.
However, the notches add length.
The horizontal parts of the notches (8.8) replace the outer edge, so no net change in horizontal length.
The vertical parts of the notches (4.4 down and 4.4 up) are ADDED to the perimeter.
Top Notch adds: $4.4 + 4.4 = 8.8 \text{ m}$.
Bottom Notch adds: $4.4 + 4.4 = 8.8 \text{ m}$.
Total Perimeter: $66.4 + 8.8 + 8.8 = 84 \text{ m}$.

Let's double check by summing segments:
Left Side: 16.8
Top Left Wing: 3.8
Top Notch Down: 4.4
Top Notch Across: 8.8
Top Notch Up: 4.4
Top Right Wing: 3.8
Right Side: 16.8
Bottom Right Wing: 3.8
Bottom Notch Up: 4.4
Bottom Notch Across: 8.8
Bottom Notch Down: 4.4
Bottom Left Wing: 3.8

Sum:
Verticals: $16.8 + 4.4 + 4.4 + 16.8 + 4.4 + 4.4 = 51.2$
Horizontals: $3.8 + 8.8 + 3.8 + 3.8 + 8.8 + 3.8 = 32.8$
Total: $51.2 + 32.8 = 84 \text{ m}$.

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Final Answer

1.
Area = 120 cm²
Perimeter = 56 cm

2.
Area = 104 in²
Perimeter = 50 in

3.
Area = 156 in²
Perimeter = 62 in

4.
Area = 199.32 ft²
Perimeter = 60 ft

5.
Area = 231.56 in²
Perimeter = 66 in
*(Note: Calculated assuming the middle and right top sections are aligned in height due to missing dimension for the middle step.)*

6.
Area = 395.4 ft²
Perimeter = 88.6 ft

7.
Area = 130.8 cm²
Perimeter = 61 cm

8.
Area = 198.08 m²
Perimeter = 84 m