Question

what is the area of this figure?
write your answer using decimals, if
necessary.
square inches

Explanation:

Step1: Divide the figure into three parts

We can divide the given figure into a rectangle with sides \(3\) in and \(3\) in, a rectangle with sides \(7\) in and \((13 - 3)\) in, and a rectangle with sides \(2\) in and \(4\) in.

Step2: Calculate the area of each part

• Area of the first rectangle (\(A_1\)): Using the formula \(A = l\times w\), for a rectangle with \(l = 3\) in and \(w = 3\) in, \(A_1=3\times3 = 9\) square inches.
• Area of the second rectangle (\(A_2\)): The length \(l = 7\) in and the width \(w=13 - 3=10\) in. So \(A_2 = 7\times10=70\) square inches.
• Area of the third rectangle (\(A_3\)): With \(l = 2\) in and \(w = 4\) in, \(A_3=2\times4 = 8\) square inches.

Step3: Sum up the areas of all parts

The total area \(A=A_1 + A_2+A_3\). Substitute the values: \(A=9 + 70+8\).

Answer:

\(87\)