Perimeter, Area & Volume Worksheets | Scholastic - Free Printable

Problem: Solve the perimeter and area for each shape in the provided worksheet.

#### Step 1: Perimeter Calculations

The formula for the perimeter of a shape depends on its type:
- Rectangle/Square: Perimeter = 2 × (length + width)
- Triangle: Perimeter = sum of all sides
- Parallelogram: Perimeter = 2 × (base + side)

##### Shape 1: Rectangle
- Dimensions: Length = 9 ft, Width = 5 ft
- Perimeter = 2 × (length + width)
= 2 × (9 + 5)
= 2 × 14
= 28 ft

##### Shape 2: Triangle
- Sides: 7 mm, 7 mm, 6 mm
- Perimeter = sum of all sides
= 7 + 7 + 6
= 20 mm

##### Shape 3: Square
- Side length = 8 mm
- Perimeter = 4 × side
= 4 × 8
= 32 mm

##### Shape 4: Parallelogram
- Base = 9 in, Side = 4 in
- Perimeter = 2 × (base + side)
= 2 × (9 + 4)
= 2 × 13
= 26 in

#### Step 2: Area Calculations

The formula for the area of a shape depends on its type:
- Rectangle/Square: Area = length × width
- Triangle: Area = 0.5 × base × height (not applicable here as height is not given)
- Parallelogram: Area = base × height (not applicable here as height is not given)

##### Shape 5: Square
- Side length = 4 in
- Area = side × side
= 4 × 4
= 16 square inches

##### Shape 6: Rectangle
- Length = 8 ft, Width = 3 ft
- Area = length × width
= 8 × 3
= 24 square feet

##### Shape 7: Rectangle
- Length = 3 mm, Width = 1 mm
- Area = length × width
= 3 × 1
= 3 square millimeters

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Final Answers:

1. Perimeter of Shape 1 (Rectangle): 28 ft
2. Perimeter of Shape 2 (Triangle): 20 mm
3. Perimeter of Shape 3 (Square): 32 mm
4. Perimeter of Shape 4 (Parallelogram): 26 in
5. Area of Shape 5 (Square): 16 square inches
6. Area of Shape 6 (Rectangle): 24 square feet
7. Area of Shape 7 (Rectangle): 3 square millimeters

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Boxed Final Answer:

\[
\boxed{
\begin{aligned}
1. & \text{ Perimeter: } 28 \text{ ft} \\
2. & \text{ Perimeter: } 20 \text{ mm} \\
3. & \text{ Perimeter: } 32 \text{ mm} \\
4. & \text{ Perimeter: } 26 \text{ in} \\
5. & \text{ Area: } 16 \text{ square inches} \\
6. & \text{ Area: } 24 \text{ square feet} \\
7. & \text{ Area: } 3 \text{ square millimeters}
\end{aligned}
}
\]