What is the area of the composite figure when you add the three rectangles up?

Question

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.