The width of a rectangle is 5 feet less than its length. If the area of the rectangle is 336 square feet, then find the length and width.

Question

find the length and width

Answer 1

W=L-5

336 =WL = (L-5)L = L^2 -5L

L^2 -5L = 336

L^2 -5L + 25/4 = 336 + 6.25

(L-5/2)^2 = 342.25

L-2.5 = sqr342.25 = 18.5

L = 18.5 + 2.5 = 21 feet long

W = 21-5 = 16 feet wide

16x21 = 336