Question

what is the area of this figure?

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into 4 non - overlapping rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle at the top has length 3 mi and width 4 mi. Area $A_1 = 3\times4=12$ square miles.

Step3: Calculate the area of the second rectangle

The second rectangle has length $3 + 3=6$ mi and width 11 mi. Area $A_2=6\times11 = 66$ square miles.

Step4: Calculate the area of the third rectangle

The third rectangle has length 8 mi and width 3 mi. Area $A_3=8\times3 = 24$ square miles.

Step5: Calculate the area of the fourth rectangle

The fourth rectangle has length 2 mi and width 5 mi. Area $A_4=2\times5=10$ square miles.

Step6: Sum up the areas of all rectangles

The total area $A=A_1 + A_2+A_3+A_4=12 + 66+24 + 10=112$ square miles.

Answer:

112 square miles