Question

what is the area of this figure?

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into three rectangles.

Step2: Calculate area of first rectangle

The first rectangle at the bottom has length $2$ mi and width $3$ mi. Area $A_1 = 2\times3=6$ square - miles.

Step3: Calculate area of second rectangle

The middle - rectangle has length $6 + 2=8$ mi and width $2$ mi. Area $A_2=8\times2 = 16$ square - miles.

Step4: Calculate area of third rectangle

The top - rectangle has length $4$ mi and width $5+13 = 18$ mi. Area $A_3=4\times18=72$ square - miles.

Step5: Calculate total area

The total area $A=A_1 + A_2+A_3=6 + 16+72=94$ square - miles.

Answer:

94 square miles