Math worksheet for calculating area and perimeter of rectangles using grid squares.

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.

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:

\[
\boxed{
\begin{array}{ll}
1) & \text{Area} = 10 \text{ square cm}, \text{Perimeter} = 14 \text{ cm} \\
2) & \text{Area} = 6 \text{ square cm}, \text{Perimeter} = 14 \text{ cm} \\
3) & \text{Area} = 12 \text{ square cm}, \text{Perimeter} = 14 \text{ cm} \\
4) & \text{Area} = 18 \text{ square cm}, \text{Perimeter} = 18 \text{ cm} \\
5) & \text{Area} = 15 \text{ square cm}, \text{Perimeter} = 16 \text{ cm} \\
6) & \text{Area} = 14 \text{ square cm}, \text{Perimeter} = 18 \text{ cm} \\
\end{array}
}
\]