The walkway in front of an office building has a perimeter of 450 ft. If the length is four times the width, find the dimensions of the walkway.
A) The width is 45.5 ft,
The length is 179.5 ft.
B) The width is 50 ft,
The length is 175 ft.
C) The width is 45 ft,
The length is 180 ft.
D) The width is 60 ft,
The length is 165 ft.
E) The width is 180 ft,
The length is 45 ft.

Question

The walkway in front of an office building has a perimeter of 450 ft. If the length is four times the width, find the dimensions of the walkway.
A) The width is 45.5 ft,
The length is 179.5 ft.
B) The width is 50 ft,
The length is 175 ft.
C) The width is 45 ft,
The length is 180 ft.
D) The width is 60 ft,
The length is 165 ft.
E) The width is 180 ft,
The length is 45 ft.

Quizplus · Accepted Answer

Let the width be $w$ and the length be $4w$. The perimeter $P = 2l + 2w = 450$. Substituting the length gives $2(4w) + 2w = 450$, simplifying to $10w = 450$, so $w = 45$. The length is $4w = 180$.

The Walkway in Front of an Office Building Has a Perimeter