The perimeter of a rectangle is $216$ inches. The length of the rectangle is $\text { three }$ times its width. Find the dimensions of the rectangle.
A)length: $54$ inches width: $162$ inches
B)length: $162$ inches width: $54$ inches
C)length: $81$ inches width: $27$ inches
D)length: $27$ inches width: $81$ inches
E)length: $108$ inches width: $36$ inches

Question

Quizplus · Accepted Answer

Let the width be $x$. Then the length is $3x$. The perimeter is $2(x + 3x) = 216$, so $8x = 216$. Solving for $x$, we get $x = 27$. Thus, the width is $27$ inches and the length is $81$ inches.

The Perimeter of a Rectangle Is 216216216 Inches the Length of the Rectangle Is

The Perimeter of a Rectangle Is $216$ Inches the Length of the Rectangle Is