SOLUTION: A room has a floor area of 320 square feet. One dimension is 4 feet more than the other. Find the dimensions of the room. Set up a quadratic equation.
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Question 506647: A room has a floor area of 320 square feet. One dimension is 4 feet more than the other. Find the dimensions of the room. Set up a quadratic equation.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
A room has a floor area of 320 square feet. One dimension is 4 feet more than the other. Find the dimensions of the room. Set up a quadratic equation.
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Let x = one of the dimensions
Then x+4 = the other dimension
Area = 320 = x(x+4)
x^2 + 4x - 320 = 0
This can be factored as:
(x+20)(x-16) = 0
Take the positive solution, x = 16
So the dimensions are 16 and 20 ft.
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