Question

What is the area of the composite figure when you add the three rectangles up?
First rectangle:
Side length: 3 mi
Width: 1 mi
Second rectangle:
Side lengths: 1 mi
width: 1 mi
Third rectangle:
Side length: 3 mi
Width: 7 mi

Answer 1

To find the area of the composite figure formed by the three rectangles, we need to calculate the area of each rectangle individually and then sum these areas.

1. **First Rectangle:**
- Length: 3 mi
- Width: 1 mi
- Area = Length × Width = \(3 \, \text{mi} \times 1 \, \text{mi} = 3 \, \text{mi}^2\)

2. **Second Rectangle:**
- Length: 1 mi
- Width: 1 mi
- Area = Length × Width = \(1 \, \text{mi} \times 1 \, \text{mi} = 1 \, \text{mi}^2\)

3. **Third Rectangle:**
- Length: 3 mi
- Width: 7 mi
- Area = Length × Width = \(3 \, \text{mi} \times 7 \, \text{mi} = 21 \, \text{mi}^2\)

Now, we add up the areas of all three rectangles:

\[
\text{Total Area} = \text{Area of Rectangle 1} + \text{Area of Rectangle 2} + \text{Area of Rectangle 3}
\]
\[
\text{Total Area} = 3 \, \text{mi}^2 + 1 \, \text{mi}^2 + 21 \, \text{mi}^2 = 25 \, \text{mi}^2
\]

Therefore, the total area of the composite figure is **25 square miles**.