Question

what is the area of this figure? square miles

Explanation:

Step1: Divide the figure into rectangles

We can split the figure into two rectangles. One rectangle has dimensions 4 mi by 9 mi and the other has dimensions 2 mi by 2 mi.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the rectangle with $l = 9$ mi and $w = 4$ mi, $A_1=9\times4 = 36$ square - miles.

Step3: Calculate area of second rectangle

For the rectangle with $l = 2$ mi and $w = 2$ mi, $A_2=2\times2=4$ square - miles.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A = A_1+A_2$. So $A=36 + 4=40$ square - miles.

Answer:

40