Problema Solution

a large rectangular movie screen in an Imax theater has an area of 9504sq feet.Find the dimension of the screen if it is 20 feet longer than it is wide

Answer provided by our tutors

let


w = the width of the screen, l>0

l = the length of the screen, w>0


the area of the screen is 9504 ft^2


w*l = 9504


the screen is 20 feet longer than it is wide


l = w + 20


plug l = w + 20 into w*l = 9504


w(w + 20) = 9504


by solving the equation we find


w = 88 ft


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l = 88 + 20


l = 108 ft


the dimensions of the screen are 108 ft and 88 ft.