Question

check a set of windows consists of three equal - sized squares arranged in a row to form a rectangle. if the total area of all three windows is 108 square feet, what is the length, in feet, of the windows?

Explanation:

Step1: Find area of one - square window

Let the side - length of each square window be $s$. Since the three square windows are arranged in a row to form a rectangle and the total area of the three windows is 108 square feet, and the area of one square window is $A_1=\frac{108}{3}=36$ square feet.

Step2: Find side - length of one square window

For a square with area $A = s^2$, if $A = 36$ square feet, then $s=\sqrt{36}=6$ feet.

Step3: Find the length of the rectangle formed by the windows

The length of the rectangle formed by the three square windows arranged in a row is equal to the sum of the side - lengths of the three square windows. Since the side - length of each square window is 6 feet, the length $L=3\times6 = 18$ feet.

Answer:

18