what is the area of this figure? square miles

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into three rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle has dimensions 3 mi (width) and 15 mi (height). Area of rectangle = length×width. So, $A_1 = 3\times15=45$ square - miles.

Step3: Calculate the area of the second rectangle

The second rectangle has dimensions $(9 - 3 - 2)=4$ mi (width) and $(15-(4 + 5)) = 6$ mi (height). So, $A_2=4\times6 = 24$ square - miles.

Step4: Calculate the area of the third rectangle

The third rectangle has dimensions 2 mi (width) and 6 mi (height). So, $A_3=2\times6=12$ square - miles.

Step5: Calculate the total area

The total area of the figure $A=A_1 + A_2+A_3$. So, $A = 45+24 + 12=81$ square - miles.

Answer:

81