A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 730 ft. What are the dimensions of the building?
A) The width is 63 ft,
The length is 302 ft.
B) The width is 73 ft,
The length is 292 ft.
C) The width is 83 ft,
The length is 282 ft.
D) The width is 292 ft,
The length is 73 ft.
E) The width is 43 ft,
The length is 322 ft.

Question

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 730 ft. What are the dimensions of the building?
A) The width is 63 ft,
The length is 302 ft.
B) The width is 73 ft,
The length is 292 ft.
C) The width is 83 ft,
The length is 282 ft.
D) The width is 292 ft,
The length is 73 ft.
E) The width is 43 ft,
The length is 322 ft.

Quizplus · Accepted Answer

Let's assume the width of the building is x, then the length of the building will be 4x.
The total length of the duct = perimeter of the building = 2(length + width)
Therefore, 2(4x + x) = 730
Simplifying it, we get:
10x = 365
x = 36.5
The width of the building is 36.5 ft and the length is 4x = 146 ft.
Therefore, the correct answer is B.

A Supply Duct Is to Run the Perimeter of a Building