Problem Analysis:
The image shows two rectangles:
1. An
outer rectangle with dimensions \( 8 \, \text{m} \) (length) and \( 5 \, \text{m} \) (width).
2. An
inner rectangle with dimensions \( 5 \, \text{m} \) (length) and \( 2 \, \text{m} \) (width).
The shaded region is the area of the outer rectangle minus the area of the inner rectangle. We need to calculate the area of the shaded region step by step.
---
Step-by-Step Solution:
#### 1. Calculate the area of the outer rectangle:
The formula for the area of a rectangle is:
\[
\text{Area} = \text{length} \times \text{width}
\]
For the outer rectangle:
\[
\text{Area of outer rectangle} = 8 \, \text{m} \times 5 \, \text{m} = 40 \, \text{sq m}
\]
#### 2. Calculate the area of the inner rectangle:
Using the same formula for the area of a rectangle:
\[
\text{Area of inner rectangle} = 5 \, \text{m} \times 2 \, \text{m} = 10 \, \text{sq m}
\]
#### 3. Calculate the area of the shaded region:
The shaded region is the difference between the area of the outer rectangle and the area of the inner rectangle:
\[
\text{Area of shaded region} = \text{Area of outer rectangle} - \text{Area of inner rectangle}
\]
Substitute the values calculated:
\[
\text{Area of shaded region} = 40 \, \text{sq m} - 10 \, \text{sq m} = 30 \, \text{sq m}
\]
---
Final Answer:
\[
\boxed{40 - 10 = 30}
\]
Parent Tip: Review the logic above to help your child master the concept of find the area of the shaded region worksheet.
