Question

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

Explanation:

Step1: Calculate the area of the large rectangle

The length of the large rectangle is \(13\) ft and the width is \(6\) ft. The area of a rectangle is \(A = length\times width\). So, \(A_{large}=13\times6 = 78\) square - feet.

Step2: Calculate the area of the small square that is subtracted

The side - length of the small square is \(3\) ft. The area of a square is \(A = side\times side\). So, \(A_{small}=3\times3=9\) square - feet.

Step3: Calculate the area of the composite figure

The area of the composite figure \(A = A_{large}-A_{small}\). Substitute the values: \(A = 78 - 9\).

Answer:

\(69\)