Question

what is the area of this figure? 3 mi 5 mi 9 mi 6 mi 11 mi 15 mi

Explanation:

Step1: Calculate area of top - rectangle

The area formula for a rectangle is $A = l\times w$. For the top - rectangle with length $l = 5$ mi and width $w = 3$ mi, $A_1=5\times3 = 15$ square miles.

Step2: Calculate area of middle - rectangle

For the middle - rectangle with length $l = 9$ mi and width $w = 6$ mi, $A_2=9\times6 = 54$ square miles.

Step3: Calculate area of triangle

The area formula for a triangle is $A=\frac{1}{2}\times b\times h$. For the triangle with base $b = 15$ mi and height $h = 11$ mi, $A_3=\frac{1}{2}\times15\times11=\frac{165}{2}=82.5$ square miles.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles and the triangle. $A = A_1+A_2+A_3=15 + 54+82.5=151.5$ square miles.

Answer:

$151.5$ square miles