SOLUTION: The area of a rectangular wall of a barn is 108 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn?

Question 458324: The area of a rectangular wall of a barn is 108 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
L * W = 108 sq ft
Length is 6 ft greater than twice the width.
L = 2W + 6
Substituting
(2W+6)*W = 108
2W^2 + 6W = 108
Divide both sides by 2
W^2 + 3W = 54
W^2 + 3W - 54 = 0
Factor
(W +9)(W -6) = 0
Roots are W=-9 and W=6.
A negative width is impossible, so W=6
L = 2W + 6
L = 2(6) + 6
L = 18
.
Always check your answer.
L*W = ??
18 * 6 = 108
Correct.
.
Done
RELATED QUESTIONS
The area of a rectangular wall of a barn is 198 square feet. Its length is 4 feet longer (answered by checkley71)

The area of a rectangular wall of a barn is 260 square feet. Its length is 6 feet longer (answered by ikleyn)

THE AREA OF A RECTANGULAR WALL OF A BARN IS 80 SQUARE FEET. ITS LENGTH IS 6 FEET LONGER... (answered by clearyjohn225)

The area of a rectangular wall of a barn is 280 square feet. Its length is 8 feet longer (answered by harpazo)

The area of a rectangular wall of a barn is 72 square feet. It's length is 10 feet longer (answered by stanbon)

The area of a rectangular wall of a barn is 32 square feet. Its length is 12 feet longer... (answered by TimothyLamb)

The area of a rectangular wall of a barn is 54 square feet. its length is 12 feet longer... (answered by Cromlix)

The area of a rectangular wall of a barn is 96 square feet. Its length is 4 feet longer... (answered by Boreal)

he area of a rectangular wall of a barn is 9696 square feet. Its length is 44 feet... (answered by jorel1380)