SOLUTION: A rectangular swimming pool is 10m long and 12m wide. A walk of uniform width is to be built around the pool, using 104 square meters of tile. How wide should the walk be?

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Question 712648: A rectangular swimming pool is 10m long and 12m wide. A walk of uniform width is to be built around the pool, using 104 square meters of tile. How wide should the walk be?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let the width of sidewalk be x
..
Length of pool = 10 m
Width = 12 m

Area = 120 m^2
Area of sidewalk = 104 m^2
Length of pool + sidewalk = 10 + 2 x
width of pool + sidewalk = 12 + 2 x

( 10 + 2 x ) ( 12 + 2 x ) + -120 = 104

120 + 20 x + 24 x + 4 X^2 + -120 = 104
4 X^2 + 44 x + -104 = 0
Find the roots of the equation by quadratic formula
a= 4 b= 44 c= -104
b^2-4ac= 1936 - -1664
b^2-4ac= 3600 sqrt%28%093600%09%29= 60
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( -44 + 60 )/ 8
x1= 2.00
x2=( -44 -60 ) / 8
x2= -15.5
Ignore negative value
width of sidewalk = 2 m