The perimeter of a rectangle is $180$ inches. The length of the rectangle is $\text { four }$ times its width. Find the area of the rectangle.
A) $5,184$ square inches
B) $2,592$ square inches
C) $5,508$ square inches
D) $1,296$ square inches
E) $720$ square inches

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by $2(l + w)$, where $l$ is the length and $w$ is the width. Given $l = 4w$ and the perimeter is $180$ inches, we can write $2(4w + w) = 180$, simplifying to $10w = 180$, thus $w = 18$ inches. The length $l = 4w = 72$ inches. The area of the rectangle is $l \times w = 72 \times 18 = 1,296$ square inches.

The Perimeter of a Rectangle Is 180180180 Inches the Length of the Rectangle Is

The Perimeter of a Rectangle Is $180$ Inches the Length of the Rectangle Is