The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 375 square​ meters, find the dimensions.

Question

 Question from college algebra

Answer 1

this is a 2 equations in 2 unknowns problem

assume length is L and width is W

equation 1

L = 2W-5

equation 2

area = LW = 375

 

from equation 2, L = 375/W

substitute in equation 1

375/W = 2W-5

multiply both sides by W, you will get

375=2W²-5W

2W²-5W-375 = 0

(2W+25)(W-15)=0

W is either -12.5 meter (reject) or 15 meters (accept)

substitute in equation 1

L = 2W-5 = 30-5 = 25 meters