Question

what is the area of this figure? 9 mi 6 mi 5 mi 15 mi 9 mi 4 mi square miles submit

Explanation:

Step1: Divide the figure into two rectangles

We can split the T - shaped figure into a top rectangle and a bottom rectangle. The top rectangle has length \(l_1 = 9\) mi and width \(w_1=6\) mi. The bottom rectangle has length \(l_2 = 15\) mi and width \(w_2 = 4\) mi.

Step2: Calculate the area of the top rectangle

The formula for the area of a rectangle is \(A=\text{length}\times\text{width}\). For the top rectangle, \(A_1=l_1\times w_1=9\times6 = 54\) square miles.

Step3: Calculate the area of the bottom rectangle

For the bottom rectangle, using the area formula \(A = l\times w\), we have \(A_2=l_2\times w_2=15\times4=60\) square miles.

Step4: Calculate the total area of the figure

The total area \(A\) of the figure is the sum of the areas of the two rectangles, so \(A = A_1+A_2=54 + 60=114\) square miles.

Answer:

114