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 the area of the first rectangle

The first rectangle has length \(l_1 = 6\) mi and width \(w_1=5\) mi. The area formula for a rectangle is \(A = l\times w\), so \(A_1=6\times5 = 30\) square - miles.

Step3: Calculate the area of the second rectangle

The second rectangle has length \(l_2=9\) mi and width \(w_2 = 3\) mi. So \(A_2=9\times3=27\) square - miles.

Step4: Calculate the area of the third rectangle

The third rectangle has length \(l_3 = 2\) mi and width \(w_3=6\) mi. So \(A_3=2\times6 = 12\) square - miles.

Step5: Calculate the total area

The total area \(A\) of the figure is the sum of the areas of the three rectangles, \(A=A_1 + A_2+A_3=30 + 27+12=69\) square - miles.

Answer:

69