SOLUTION: A vacant rectangular lot is being turned into a garden measuring 15m. by 12. with a pathof uniform width surrounding the garden. if the area of the lot is 378sq.m. Find the width o

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Question 124389: A vacant rectangular lot is being turned into a garden measuring 15m. by 12. with a pathof uniform width surrounding the garden. if the area of the lot is 378sq.m. Find the width of the path surrounding the garden. If any one can help me with this i will be very pleased.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
15*12=180 IS THE GARDEN AREA.
(15+2X)(12+2X)=378
180+24X+30X+4X^2=378
4X^2+54X+180-378=0
4X^2+54X-198=0
(2X-6)(2X+33)=0
2X-6=0
2X=6
X=6/2
X=3M IS THE WIDTH OF THE PATH.
PROOF
(15+6)(12+6)=378
21*18=378
378=378