Question

what is the area of this figure? square inches

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 dimensions 3 in by 7 in. The area formula for a rectangle is $A = l\times w$. So, $A_1=3\times7 = 21$ square - inches.

Step3: Calculate the area of the second rectangle

The second rectangle has dimensions $(4 + 2)$ in by 3 in. So, $A_2=(4 + 2)\times3=18$ square - inches.

Step4: Calculate the area of the third rectangle

The third rectangle has dimensions 9 in by 6 in. So, $A_3=9\times6 = 54$ square - inches.

Step5: Calculate the total area

The total area $A$ of the figure is the sum of the areas of the three rectangles. $A=A_1 + A_2+A_3=21 + 18+54=93$ square - inches.

Answer:

93