The plans for a shed call for a rectangular floor with a perimeter of 282 ft. The length is two times the width. Find the length and width.

Answer 1

Perimeter is two times sum of width and length

282 = 2*(w + l) divide both sides by 2

141 = w + l

Length is two times width

l = 2 * w substitute this into the perimeter equation

141 = w + 2w

141 = 3w divide both side with 3

27 = w

l = 2w

= 2*27

= 54

Length is 54 feet and width is 27 feet