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icang [17]
3 years ago
14

A large rectangular movie screen in an IMAX theater has an area of 10,800 square feet. Find the dimensions of the screen if it i

s 30 feet longer than it is wide. length ft width ft
Mathematics
1 answer:
icang [17]3 years ago
3 0

Answer:

Let x be the width of the screen and

x + 30 be the length of the screen

Area of the screen = 10384 square feet

=>x(x+30) = 10384

x^2 + 30x = 10384

x^2 + 30x - 10384 = 0

Splitting-

x2+118x - 88x -10384 = 0

x(x+118) -88(x+118) = 0

(x+118)(x-88) = 0

x=-118,88

Since width should be positive,

width = 88 feet

length = 118 feet

Step-by-step explanation:

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