Question

The perimeter of a rectangle is 90 feet, and the length is 32 feet. What is the width of the rectangle?

A. 26 feet
B. 13 feet
C. 58 feet
D. 15 feet

Answer 1

15 ft

Explanation:

i hope it right im not very sure :)

Answer 2

Length is 12ft, width is 4 ft.

2 x (length + width) = perimeter = 32 ft

⇒ length = 16ft - width [1]

length x width = area = 48 sq ft

Using [1] above:

⇒ (16ft - width) x width = 48 sq ft

multiplying out and rearranging:

⇒ width2 - 16 x width + 48 = 0

factorizing:

⇒ (width - 4)x(width - 12) = 0

Thus width = 4 or 12, so using [1] above:

⇒ width = 4ft, length = 16 - 4 = 12ft

or width = 12ft, length = 16 - 12 = 4ft

Convention is that the length is larger than the width, thus rectangle is 12ft long by 4 ft wide.