To solve the problem of finding the areas of the rectangles and squares in the given image, we will use the formula for the area of a rectangle:
\[
\text{Area} = \text{length} \times \text{width}
\]
For a square, since all sides are equal, the formula simplifies to:
\[
\text{Area} = \text{side} \times \text{side} = \text{side}^2
\]
Let's calculate the area for each shape step by step.
---
Problem 1:
- Shape: Rectangle
- Dimensions: \(5 \, \text{in} \times 9 \, \text{in}\)
- Area:
\[
\text{Area} = 5 \, \text{in} \times 9 \, \text{in} = 45 \, \text{in}^2
\]
---
Problem 2:
- Shape: Square
- Side length: \(10 \, \text{cm}\)
- Area:
\[
\text{Area} = 10 \, \text{cm} \times 10 \, \text{cm} = 100 \, \text{cm}^2
\]
---
Problem 3:
- Shape: Rectangle
- Dimensions: \(22 \, \text{m} \times 22 \, \text{m}\)
- Area:
\[
\text{Area} = 22 \, \text{m} \times 22 \, \text{m} = 484 \, \text{m}^2
\]
---
Problem 4:
- Shape: Rectangle
- Dimensions: \(7 \, \text{km} \times 3 \, \text{km}\)
- Area:
\[
\text{Area} = 7 \, \text{km} \times 3 \, \text{km} = 21 \, \text{km}^2
\]
---
Problem 5:
- Shape: Square
- Side length: \(2 \, \text{ft}\)
- Area:
\[
\text{Area} = 2 \, \text{ft} \times 2 \, \text{ft} = 4 \, \text{ft}^2
\]
---
Problem 6:
- Shape: Rectangle
- Dimensions: \(4 \, \text{mm} \times 6 \, \text{mm}\)
- Area:
\[
\text{Area} = 4 \, \text{mm} \times 6 \, \text{mm} = 24 \, \text{mm}^2
\]
---
Problem 7:
- Shape: Square
- Side length: \(9 \, \text{yd}\)
- Area:
\[
\text{Area} = 9 \, \text{yd} \times 9 \, \text{yd} = 81 \, \text{yd}^2
\]
---
Problem 8:
- Shape: Rectangle
- Dimensions: \(1 \, \text{cm} \times 2 \, \text{cm}\)
- Area:
\[
\text{Area} = 1 \, \text{cm} \times 2 \, \text{cm} = 2 \, \text{cm}^2
\]
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 45 \, \text{in}^2 \\
2. & 100 \, \text{cm}^2 \\
3. & 484 \, \text{m}^2 \\
4. & 21 \, \text{km}^2 \\
5. & 4 \, \text{ft}^2 \\
6. & 24 \, \text{mm}^2 \\
7. & 81 \, \text{yd}^2 \\
8. & 2 \, \text{cm}^2 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of area of rectangles and squares worksheet.
