SOLUTION: Jack Bauer owns a vacant lot that is 32 meters wide and 40 meters long. He makes a rectangular basketball court in the middle by subtracting equal amounts from the length and

Question 475597: Jack Bauer owns a vacant lot that is 32 meters wide and 40 meters
long. He makes a rectangular basketball court in the middle by
subtracting equal amounts from the length and width. The area of
the court is 560 m�. How far from the edge of the lot is an edge of
the court?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Area of lot = 32*40 = 1280 sq.m
(40-2x)(32-2x) = area of court
(40-2x)(32-2x)=560
(1280-80x-64x+4x^2)=560
1280+144x+4x^2=560
4x^2+144x+720=0
/4
x^2+36x-180=0
Find the roots of the equation by quadratic formula

a= 1 ,b= 36 ,c= -180

b^2-4ac= 1296 + 720
b^2-4ac= 2016

x1=( -36 + 44.9 )/ 2
x1= 4.45
x2=( -36 -44.9 ) / 2
x2= -40.45
Ignore negative value
4.45m is the width
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