SOLUTION: A flower bed measures 12 m by 5 m and a path of a uniform width runs along one side and one end. If the total area of the flower-bed and the path is 120 m^2 find the width of the p

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Question 350369: A flower bed measures 12 m by 5 m and a path of a uniform width runs along one side and one end. If the total area of the flower-bed and the path is 120 m^2 find the width of the path
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
12*5=60 m^2 is the area of the flower bed.
(12+x)(5+x)=120
60+17x+x^2=120
x^2+17x+60-120=0
x^2+17x-60=0
(x+20)(x-3)=0
x-3=0
x=3 m. wide is the path.
Proof:
(12+3)(5+3)=120
15*8=120
120=120