SOLUTION: the perimeter of a rectangle is 100cm, and its diagonal has length x. express the area of the rectangle as a function of x.
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Question 629035: the perimeter of a rectangle is 100cm, and its diagonal has length x. express the area of the rectangle as a function of x. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the perimeter of a rectangle is 100cm, and its diagonal has length x. express the area of the rectangle as a function of x.
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Perimeter = 2(length + width) = 100 cm
length + width = 50 cm
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L^2 + W^2 = x^2
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length = sqrt[x^2-width^2]
width = sqrt[x^2-length^2]
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Area = length*width = sqrt[(x^2-W^2)(x^2-L^2)]
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Cheers,
Stan H.
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