the plans for a shed call for a rectangular floor with a perimeter of 264 ft. The length is three times the width. Find the length and width

Question

the plans for a shed call for a rectangular floor with a perimeter of 264 ft. The length is three times the width. Find the length and width

Answer 1

The perimeter P can be expressed as 2L + 2W, where L = length and W = width

 

If width = x, then length = 3x

 

2(3x) + 2x = 264 if we plug into the perimeter formula

6x + 2x = 8x = 264

x = 33

 

The width is 33 ft, so the length = 3 * 33 = 99 ft