The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 square meters, find the dimensions.

Question

What is the width?

what is the length?

Answer 1

L=2W-5

Area = 273 = WL = W(2W-5) = 2W^2 -5W

2W^2 -5W - 273 = 0

solve for W using the quadratic formula, completing the square or factoring

W = 5/4 + or - sqr(25+4(2)(273))

= 5/4 + or - 47

= 48 1/4 or - 45 3/4 Ignore the negative solution

W = 48.25 feet

L = 2W-5 = 2(48.25)-5 = 96.5 - 5 = 91.5 feet