SOLUTION: the length of a rectangle is 7 meters more than four times its width. If the area o the rectangle is 650 square meters, find the length and the width

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Question 1026848: the length of a rectangle is 7 meters more than four times its width. If the area o the rectangle is 650 square meters, find the length and the width





Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
width be x
length = 4x+7
Area = 650 m^2
Area = L *W
x(4x+7) =650
4x^2+7x-650=0
a= 4 , b= 7 , c= -650

b^2-4ac= 49 + 10400
b^2-4ac= 10449



x1=( -7 + 102.22 )/ 8
x1= 11.90

x2=( -7 -102.22 ) / 8
x2= -13.65

ignore negative
width = 11.8 m
length = 4*11.9 +7
=54.6 m


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