SOLUTION: The area of a rectangle wall of a barn is 189 sq feet. Its length is 12 feet longer than the width. Find the length and width of the wall of the barn. Thank you.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The area of a rectangle wall of a barn is 189 sq feet. Its length is 12 feet longer than the width. Find the length and width of the wall of the barn. Thank you.       Log On


   

Question 311521: The area of a rectangle wall of a barn is 189 sq feet. Its length is 12 feet longer than the width. Find the length and width of the wall of the barn.
Thank you.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
L=W+12
189=LW
189=(W+12)W
189=W^2+12W
W^2+12W-189=0
(W-9)(W+21)=0
W-9=0
W=9 ANS. FOR THE WIDTH
L=9+12=21 ANS. FOR THE LENGTH.
PROOF:
189=9*21
189=189