SOLUTION: The length of a rectangular land is 12m longer than the width. If the area is 864m2, find it's width.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The length of a rectangular land is 12m longer than the width. If the area is 864m2, find it's width.      Log On


   

Question 231942: The length of a rectangular land is 12m longer than the width. If the area is 864m2, find it's width.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
L=W+12
LW=864
(W+12)W=864
W^2+12W-864=0
(W-24)(W+36)=0
W-24=0
W=24 ANS. FOR THE WIDTH.
L=24+12=36 ANS. FOR THE LENGTH.
pROOF:
12*36=864
864=864