Area and Perimeter of Rectangle - Free Printable
Educational worksheet: Area and Perimeter of Rectangle. Download and print for classroom or home learning activities.
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Step-by-step solution for: Area and Perimeter of Rectangle
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Show Answer Key & Explanations
Step-by-step solution for: Area and Perimeter of Rectangle
To solve the problem, we need to calculate the area and perimeter of each rectangle shown in the image. Let's go through each rectangle step by step.
1. Area of a Rectangle:
\[
\text{Area} = \text{length} \times \text{width}
\]
2. Perimeter of a Rectangle:
\[
\text{Perimeter} = 2 \times (\text{length} + \text{width})
\]
#### Rectangle 1:
- Dimensions: The rectangle has 5 squares along the length and 2 squares along the width.
- Length = 5 cm
- Width = 2 cm
- Area:
\[
\text{Area} = 5 \times 2 = 10 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (5 + 2) = 2 \times 7 = 14 \text{ cm}
\]
#### Rectangle 2:
- Dimensions: The rectangle has 6 squares along the length and 1 square along the width.
- Length = 6 cm
- Width = 1 cm
- Area:
\[
\text{Area} = 6 \times 1 = 6 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (6 + 1) = 2 \times 7 = 14 \text{ cm}
\]
#### Rectangle 3:
- Dimensions: The rectangle has 4 squares along the length and 3 squares along the width.
- Length = 4 cm
- Width = 3 cm
- Area:
\[
\text{Area} = 4 \times 3 = 12 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (4 + 3) = 2 \times 7 = 14 \text{ cm}
\]
#### Rectangle 4:
- Dimensions: The rectangle has 6 squares along the length and 3 squares along the width.
- Length = 6 cm
- Width = 3 cm
- Area:
\[
\text{Area} = 6 \times 3 = 18 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (6 + 3) = 2 \times 9 = 18 \text{ cm}
\]
#### Rectangle 5:
- Dimensions: The rectangle has 5 squares along the length and 3 squares along the width.
- Length = 5 cm
- Width = 3 cm
- Area:
\[
\text{Area} = 5 \times 3 = 15 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (5 + 3) = 2 \times 8 = 16 \text{ cm}
\]
#### Rectangle 6:
- Dimensions: The rectangle has 7 squares along the length and 2 squares along the width.
- Length = 7 cm
- Width = 2 cm
- Area:
\[
\text{Area} = 7 \times 2 = 14 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (7 + 2) = 2 \times 9 = 18 \text{ cm}
\]
1. Area = 10 square cm, Perimeter = 14 cm
2. Area = 6 square cm, Perimeter = 14 cm
3. Area = 12 square cm, Perimeter = 14 cm
4. Area = 18 square cm, Perimeter = 18 cm
5. Area = 15 square cm, Perimeter = 16 cm
6. Area = 14 square cm, Perimeter = 18 cm
\[
\boxed{
\begin{array}{ll}
1) & \text{Area} = 10 \text{ square cm}, \text{Perimeter} = 14 \text{ cm} \\
2) & \text{Area} = 6 \text{ square cm}, \text{Perimeter} = 14 \text{ cm} \\
3) & \text{Area} = 12 \text{ square cm}, \text{Perimeter} = 14 \text{ cm} \\
4) & \text{Area} = 18 \text{ square cm}, \text{Perimeter} = 18 \text{ cm} \\
5) & \text{Area} = 15 \text{ square cm}, \text{Perimeter} = 16 \text{ cm} \\
6) & \text{Area} = 14 \text{ square cm}, \text{Perimeter} = 18 \text{ cm} \\
\end{array}
}
\]
Formula Recap:
1. Area of a Rectangle:
\[
\text{Area} = \text{length} \times \text{width}
\]
2. Perimeter of a Rectangle:
\[
\text{Perimeter} = 2 \times (\text{length} + \text{width})
\]
Step-by-Step Solution:
#### Rectangle 1:
- Dimensions: The rectangle has 5 squares along the length and 2 squares along the width.
- Length = 5 cm
- Width = 2 cm
- Area:
\[
\text{Area} = 5 \times 2 = 10 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (5 + 2) = 2 \times 7 = 14 \text{ cm}
\]
#### Rectangle 2:
- Dimensions: The rectangle has 6 squares along the length and 1 square along the width.
- Length = 6 cm
- Width = 1 cm
- Area:
\[
\text{Area} = 6 \times 1 = 6 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (6 + 1) = 2 \times 7 = 14 \text{ cm}
\]
#### Rectangle 3:
- Dimensions: The rectangle has 4 squares along the length and 3 squares along the width.
- Length = 4 cm
- Width = 3 cm
- Area:
\[
\text{Area} = 4 \times 3 = 12 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (4 + 3) = 2 \times 7 = 14 \text{ cm}
\]
#### Rectangle 4:
- Dimensions: The rectangle has 6 squares along the length and 3 squares along the width.
- Length = 6 cm
- Width = 3 cm
- Area:
\[
\text{Area} = 6 \times 3 = 18 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (6 + 3) = 2 \times 9 = 18 \text{ cm}
\]
#### Rectangle 5:
- Dimensions: The rectangle has 5 squares along the length and 3 squares along the width.
- Length = 5 cm
- Width = 3 cm
- Area:
\[
\text{Area} = 5 \times 3 = 15 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (5 + 3) = 2 \times 8 = 16 \text{ cm}
\]
#### Rectangle 6:
- Dimensions: The rectangle has 7 squares along the length and 2 squares along the width.
- Length = 7 cm
- Width = 2 cm
- Area:
\[
\text{Area} = 7 \times 2 = 14 \text{ square cm}
\]
- Perimeter:
\[
\text{Perimeter} = 2 \times (7 + 2) = 2 \times 9 = 18 \text{ cm}
\]
Final Answers:
1. Area = 10 square cm, Perimeter = 14 cm
2. Area = 6 square cm, Perimeter = 14 cm
3. Area = 12 square cm, Perimeter = 14 cm
4. Area = 18 square cm, Perimeter = 18 cm
5. Area = 15 square cm, Perimeter = 16 cm
6. Area = 14 square cm, Perimeter = 18 cm
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1) & \text{Area} = 10 \text{ square cm}, \text{Perimeter} = 14 \text{ cm} \\
2) & \text{Area} = 6 \text{ square cm}, \text{Perimeter} = 14 \text{ cm} \\
3) & \text{Area} = 12 \text{ square cm}, \text{Perimeter} = 14 \text{ cm} \\
4) & \text{Area} = 18 \text{ square cm}, \text{Perimeter} = 18 \text{ cm} \\
5) & \text{Area} = 15 \text{ square cm}, \text{Perimeter} = 16 \text{ cm} \\
6) & \text{Area} = 14 \text{ square cm}, \text{Perimeter} = 18 \text{ cm} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of free printable area worksheet.