SOLUTION: A large permanent movie screen is in the Panasonic Imax theater at darling Harbor, Sydney, Australia. The rectangular screen has an area of 11,349 square feet. Find the dimension

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Question 109331This question is from textbook College Algebra
: A large permanent movie screen is in the Panasonic Imax theater at darling Harbor, Sydney, Australia. The rectangular screen has an area of 11,349 square feet. Find the dimensions of the screen if it is 20 feet longer than it is wide. This question is from textbook College Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The rectangular screen has an area of 11,349 square feet. Find the dimensions of the screen if it is 20 feet longer than it is wide.
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Let width be "x" ft.
Then length = "x+20" ft
EQUATION:
x(x+20) = 11349
x^2 + 20x - 11349 = 0
x = [-20 +- sqrt(400-4*-11349)]/2
x = [-20 +- sqrt(45796)]/2
x = [-20 +- 214]/2
x = [-20+214]/2
x = 97 ft (width)
x+20 = 117 (length)
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Cheers,
Stan H.