SOLUTION: A large rectangular movie screen in an Imax theater has an area of 9,191 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide.
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Question 458663: A large rectangular movie screen in an Imax theater has an area of 9,191 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
width =x ft
length = x+10 feet
Area = 9191 sq.ft
Width =x ft
Length =(x+10)
Area = x*(x+10)
9191 =x^2+10 x
x^2+10x -9191 =0
Find the roots of the equation by quadratic formula
a= 1 b= 10 c= -9191
b^2-4ac= 100-36764
b^2-4ac= 36864
= 192
x1=(-10+192)/2
x1=91
x2=(-10 -192) / 2
x2= -101
Ignore negative value
x = 91 feet
length = 91+10 = 101
m.ananth@hotmail.ca
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