Question 1178857: A rectangular swimming pool with
dimensions of 11m and 8m is built
in a rectangular backyard. The
area of the backyard is 1120m2
. If
the strip of the yard surrounding
the pool is of uniform width, how
wide is the strip?
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
A rectangular swimming pool with
dimensions of 11m and 8m
Area of pool = 11*8=88 m*2
let the width of the of side walk be x
total area = (11+2x)(8+2x)=1120
88+22x+4x^2 +16x=1120
4x^2+38x -1032=0
4x^2-48x+86x-1032=0
4x(x-12)+86(x-12)=0
(x-12)(4x+86)=0
roots 12, -21,5
ignore negative
x=12m the width of walkway
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