Question

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

Explanation:

Step1: Divide the shape into two rectangles

Let's consider the vertical rectangle with length \(5\) ft and width \(2\) ft, and the horizontal rectangle with length \(4\) ft and width \(2\) ft.

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is \(A = l\times w\). For the first rectangle with \(l = 5\) ft and \(w=2\) ft, \(A_1=5\times2 = 10\) square feet.

Step3: Calculate the area of the second rectangle

For the second rectangle with \(l = 4\) ft and \(w = 2\) ft, \(A_2=4\times2=8\) square feet.

Step4: Sum the areas of the two rectangles

\(A = A_1+A_2\). So \(A=10 + 8=18\) square feet.

Answer:

\(18\)