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since xy=area and we know that y has to be 10ft longer than x we can plug x+10 in for y

(x+10)x=10176

x^2+10x-10176=0 then just use the quad formula you can solve that i hope

(-b(+-)(a^2-4ac)^.5)/(2a)

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Q: Large rectangular movie screen in an Imax theater has an area of 10176 square feet Find the dimensions of the screen if it is 10 feet longer than it is wide?
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