Question

find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Calculate the area of the upper rectangle

The upper rectangle has length \(5\) in and width \(3\) in.
The area of a rectangle is \(A = l\times w\), so \(A_1=5\times3 = 15\) \(in^2\).

Step2: Calculate the length of the lower rectangle

The length of the lower rectangle is \(3 + 5+3=11\) in and the width is \(2\) in.
The area of the lower rectangle \(A_2=l\times w\), so \(A_2 = 11\times2=22\) \(in^2\).

Step3: Calculate the total area

The total area \(A = A_1+A_2\).
\(A=15 + 22=37\) \(in^2\).

Answer:

\(37\)