SOLUTION: An architect has designed a motel pool within a rectangular area that is fenced on three sides.If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An architect has designed a motel pool within a rectangular area that is fenced on three sides.If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are      Log On


   

Question 98821: An architect has designed a motel pool within a rectangular area that is fenced on three sides.If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of one side length and one side width? Assume that L is greater than W.
I have been working on this for 2 hours, and cannot find an equation that works! Help!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
L+2W=60 ... L=60-2W ... L*W=352 ... W(60-2W)=352 ... 60W-2W^2=352 ... W^2-30W+176=0

factoring gives (W-8)(W-22)=0 ... so W=8 and W=22 ... since W is less than L, 8 is the correct value

L=60-2(8) ... L=44