The area of a rectangular wall of a barn is 176 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn.

Lw=area

x(2x+6)=176

2x^2+6x=176

2x^2+6x-176=0

To continue where ParthForThree left off

2x^2+6x-176=0 divide through by 2

x^2 + 3x - 88 = 0 factor

(x + 11) ( x - 8) = 0

Set both factors to 0 and solving for x we get that x = -11 ft (reject) or x = 8 ft

This is the width ...... and the length = 2(8) + 6 = 22 ft