Area and Perimeter Worksheet for calculating perimeter and area of various geometric shapes with different units.

To solve the problem, we need to calculate the perimeter and area for each of the given shapes. Let's go through each shape step by step.

Formula Recap:

1. Perimeter of a Rectangle/Square:
- Rectangle: \( P = 2 \times (\text{length} + \text{width}) \)
- Square: \( P = 4 \times \text{side} \)

2. Area of a Rectangle/Square:
- Rectangle: \( A = \text{length} \times \text{width} \)
- Square: \( A = \text{side} \times \text{side} \)

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Shape 1: Yellow Rectangle (9 cm × 5 cm)

#### Perimeter:
\[ P = 2 \times (\text{length} + \text{width}) = 2 \times (9 + 5) = 2 \times 14 = 28 \, \text{cm} \]

#### Area:
\[ A = \text{length} \times \text{width} = 9 \times 5 = 45 \, \text{cm}^2 \]

Answers:
- Perimeter: \( 28 \, \text{cm} \)
- Area: \( 45 \, \text{cm}^2 \)

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Shape 2: Orange Square (6 in × 6 in)

#### Perimeter:
\[ P = 4 \times \text{side} = 4 \times 6 = 24 \, \text{in} \]

#### Area:
\[ A = \text{side} \times \text{side} = 6 \times 6 = 36 \, \text{in}^2 \]

Answers:
- Perimeter: \( 24 \, \text{in} \)
- Area: \( 36 \, \text{in}^2 \)

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Shape 3: Pink Square (4 cm × 4 cm)

#### Perimeter:
\[ P = 4 \times \text{side} = 4 \times 4 = 16 \, \text{cm} \]

#### Area:
\[ A = \text{side} \times \text{side} = 4 \times 4 = 16 \, \text{cm}^2 \]

Answers:
- Perimeter: \( 16 \, \text{cm} \)
- Area: \( 16 \, \text{cm}^2 \)

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Shape 4: Yellow Rectangle (7 ft × 4 ft)

#### Perimeter:
\[ P = 2 \times (\text{length} + \text{width}) = 2 \times (7 + 4) = 2 \times 11 = 22 \, \text{ft} \]

#### Area:
\[ A = \text{length} \times \text{width} = 7 \times 4 = 28 \, \text{ft}^2 \]

Answers:
- Perimeter: \( 22 \, \text{ft} \)
- Area: \( 28 \, \text{ft}^2 \)

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Shape 5: Blue Rectangle (15 ft × 8 ft)

#### Perimeter:
\[ P = 2 \times (\text{length} + \text{width}) = 2 \times (15 + 8) = 2 \times 23 = 46 \, \text{ft} \]

#### Area:
\[ A = \text{length} \times \text{width} = 15 \times 8 = 120 \, \text{ft}^2 \]

Answers:
- Perimeter: \( 46 \, \text{ft} \)
- Area: \( 120 \, \text{ft}^2 \)

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Shape 6: Green Rectangle (13 ft × 9 ft)

#### Perimeter:
\[ P = 2 \times (\text{length} + \text{width}) = 2 \times (13 + 9) = 2 \times 22 = 44 \, \text{ft} \]

#### Area:
\[ A = \text{length} \times \text{width} = 13 \times 9 = 117 \, \text{ft}^2 \]

Answers:
- Perimeter: \( 44 \, \text{ft} \)
- Area: \( 117 \, \text{ft}^2 \)

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Shape 7: Light Blue Rectangle (27 in × 8 in)

#### Perimeter:
\[ P = 2 \times (\text{length} + \text{width}) = 2 \times (27 + 8) = 2 \times 35 = 70 \, \text{in} \]

#### Area:
\[ A = \text{length} \times \text{width} = 27 \times 8 = 216 \, \text{in}^2 \]

Answers:
- Perimeter: \( 70 \, \text{in} \)
- Area: \( 216 \, \text{in}^2 \)

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Shape 8: Purple Square (64 mm × 64 mm)

#### Perimeter:
\[ P = 4 \times \text{side} = 4 \times 64 = 256 \, \text{mm} \]

#### Area:
\[ A = \text{side} \times \text{side} = 64 \times 64 = 4096 \, \text{mm}^2 \]

Answers:
- Perimeter: \( 256 \, \text{mm} \)
- Area: \( 4096 \, \text{mm}^2 \)

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Final Answers:

1. Yellow Rectangle (9 cm × 5 cm):
- Perimeter: \( 28 \, \text{cm} \)
- Area: \( 45 \, \text{cm}^2 \)

2. Orange Square (6 in × 6 in):
- Perimeter: \( 24 \, \text{in} \)
- Area: \( 36 \, \text{in}^2 \)

3. Pink Square (4 cm × 4 cm):
- Perimeter: \( 16 \, \text{cm} \)
- Area: \( 16 \, \text{cm}^2 \)

4. Yellow Rectangle (7 ft × 4 ft):
- Perimeter: \( 22 \, \text{ft} \)
- Area: \( 28 \, \text{ft}^2 \)

5. Blue Rectangle (15 ft × 8 ft):
- Perimeter: \( 46 \, \text{ft} \)
- Area: \( 120 \, \text{ft}^2 \)

6. Green Rectangle (13 ft × 9 ft):
- Perimeter: \( 44 \, \text{ft} \)
- Area: \( 117 \, \text{ft}^2 \)

7. Light Blue Rectangle (27 in × 8 in):
- Perimeter: \( 70 \, \text{in} \)
- Area: \( 216 \, \text{in}^2 \)

8. Purple Square (64 mm × 64 mm):
- Perimeter: \( 256 \, \text{mm} \)
- Area: \( 4096 \, \text{mm}^2 \)

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Yellow Rectangle (9 cm × 5 cm):} & \text{Perimeter: } 28 \, \text{cm}, \, \text{Area: } 45 \, \text{cm}^2 \\
\text{Orange Square (6 in × 6 in):} & \text{Perimeter: } 24 \, \text{in}, \, \text{Area: } 36 \, \text{in}^2 \\
\text{Pink Square (4 cm × 4 cm):} & \text{Perimeter: } 16 \, \text{cm}, \, \text{Area: } 16 \, \text{cm}^2 \\
\text{Yellow Rectangle (7 ft × 4 ft):} & \text{Perimeter: } 22 \, \text{ft}, \, \text{Area: } 28 \, \text{ft}^2 \\
\text{Blue Rectangle (15 ft × 8 ft):} & \text{Perimeter: } 46 \, \text{ft}, \, \text{Area: } 120 \, \text{ft}^2 \\
\text{Green Rectangle (13 ft × 9 ft):} & \text{Perimeter: } 44 \, \text{ft}, \, \text{Area: } 117 \, \text{ft}^2 \\
\text{Light Blue Rectangle (27 in × 8 in):} & \text{Perimeter: } 70 \, \text{in}, \, \text{Area: } 216 \, \text{in}^2 \\
\text{Purple Square (64 mm × 64 mm):} & \text{Perimeter: } 256 \, \text{mm}, \, \text{Area: } 4096 \, \text{mm}^2 \\
\end{array}
}
\]