Question

what is the area of this figure? square inches

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions 9 in by 4 in and the other has dimensions (13 + 3) in by 9 in.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 9$ in and width $w = 4$ in, the area $A_1=9\times4 = 36$ square - inches.

Step3: Calculate area of second rectangle

For the second rectangle, length $l=(13 + 3)=16$ in and width $w = 9$ in. The area $A_2=16\times9=144$ square - inches.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles. So $A=A_1 + A_2=36+144 = 180$ square - inches.

Answer:

180