Question

A rectangle has a length of 29 yards less than 9 times it’s width. If the area of the rectangle is 9418 square yards, find the length of the rectangle

Answer 1

Explanation:

w = w

L = 9*w - 29

Area = L*w

area = 9418

w * (9w - 29) = 9418

9w^2 - 29w - 9418 = 0 This monster factors, believe it or not

(9w + 277)(w - 34) = 0

9w + 277 =0

9w = - 277

w = -30.777778

w - 34 = 0

w = 34

The length = 9w - 29

L = 9*34 - 29

L = 306 - 29

L = 277

Check

Area = L * w

Area = 277 * 34

Area = 9418 just as it should.