Question

The perimeter of a rectangular rug is 40 ft. It's length is 12 ft. What is it's width?8 feet28 feet10 feet20 feet

Answer 1

The perimeter of a rectangle is the sum of the side lengths. Let a be the length of the missing side:Unle

The perimeter is equal to:

$a+a+12ft+12ft=40ft$

Solve for a:

$\begin{gathered} \Rightarrow2a+24ft=40ft \\ \Rightarrow2a=40ft-24ft \\ \Rightarrow2a=16ft \\ \Rightarrow a=8ft \end{gathered}$

Therefore, the width of the rectangular rug is:

$8ft$