A rectangle is 4 times as long as it is wide.If the area is 36 square feet, find its perimeter.
A) $\quad 60 \mathrm { ft }$
B) $\quad 30 \mathrm { ft }$
C) $\quad 40 \mathrm { ft }$
D) $\quad 33 \mathrm { ft }$
E) $\quad 35 \mathrm { ft }$

Question

A rectangle is 4 times as long as it is wide.If the area is 36 square feet, find its perimeter. 
A) $\quad 60 \mathrm { ft }$
B) $\quad 30 \mathrm { ft }$
C) $\quad 40 \mathrm { ft }$
D) $\quad 33 \mathrm { ft }$
E) $\quad 35 \mathrm { ft }$

Quizplus · Accepted Answer

Let the width be $ x $ feet. Then the length is $ 4x $ feet. The area is $ x \times 4x = 4x^2 = 36 $. Solving for $ x $, we get $ x^2 = 9 $, so $ x = 3 $. The width is 3 feet, and the length is $ 4 \times 3 = 12 $ feet. The perimeter is $ 2(3 + 12) = 30 $ feet.

A Rectangle Is 4 Times as Long as It Is 60ft\quad 60 \mathrm { ft }60ft

A Rectangle Is 4 Times as Long as It Is $\quad 60 \mathrm { ft }$