To solve the problems, we need to calculate the areas of the given shapes using their respective formulas. Let's go through each problem step by step.
1. Rectangle
The formula for the area of a rectangle is:
\[
\text{Area} = \text{length} \times \text{width}
\]
Given:
- Length = 10 m
- Width = 4 m
\[
\text{Area} = 10 \, \text{m} \times 4 \, \text{m} = 40 \, \text{m}^2
\]
2. Triangle
The formula for the area of a triangle is:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given:
- Base = 9 m
- Height = 6 m
\[
\text{Area} = \frac{1}{2} \times 9 \, \text{m} \times 6 \, \text{m} = \frac{1}{2} \times 54 \, \text{m}^2 = 27 \, \text{m}^2
\]
3. Square
The formula for the area of a square is:
\[
\text{Area} = \text{side}^2
\]
Given:
- Side = 7 m
\[
\text{Area} = 7 \, \text{m} \times 7 \, \text{m} = 49 \, \text{m}^2
\]
4. Triangle
The formula for the area of a triangle is:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given:
- Base = 8 m
- Height = 12 m
\[
\text{Area} = \frac{1}{2} \times 8 \, \text{m} \times 12 \, \text{m} = \frac{1}{2} \times 96 \, \text{m}^2 = 48 \, \text{m}^2
\]
5. Rectangle
The formula for the area of a rectangle is:
\[
\text{Area} = \text{length} \times \text{width}
\]
Given:
- Length = 20 m
- Width = 7 m
\[
\text{Area} = 20 \, \text{m} \times 7 \, \text{m} = 140 \, \text{m}^2
\]
6. Rectangle
The formula for the area of a rectangle is:
\[
\text{Area} = \text{length} \times \text{width}
\]
Given:
- Length = 11 m
- Width = 8 m
\[
\text{Area} = 11 \, \text{m} \times 8 \, \text{m} = 88 \, \text{m}^2
\]
Final Answers
\[
\boxed{
\begin{array}{ll}
1. & 40 \, \text{m}^2 \\
2. & 27 \, \text{m}^2 \\
3. & 49 \, \text{m}^2 \\
4. & 48 \, \text{m}^2 \\
5. & 140 \, \text{m}^2 \\
6. & 88 \, \text{m}^2 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of area of figures worksheet.
