Question

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

Explanation:

Step1: Divide the shape into two rectangles

The shape can be divided into a rectangle with dimensions \(3\times3\) and another rectangle with dimensions \(4\times2\).

Step2: Calculate the area of the first rectangle

The area of a rectangle is \(A = length\times width\). For the first rectangle (\(length = 3\) ft, \(width=3\) ft), \(A_1=3\times3 = 9\) square - feet.

Step3: Calculate the area of the second rectangle

For the second rectangle (\(length = 4\) ft, \(width = 2\) ft), \(A_2=4\times2=8\) square - feet.

Step4: Sum the areas of the two rectangles

\(A = A_1+A_2\). So \(A=9 + 8=17\) square - feet.

Answer:

17