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The perimeter of a rectangle is 20cm and its area is 14cm^2. Calculate the dimensions of the rectangle to one decimal place.
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The perimeter of a rectangle is 20cm and its area is 14cm^2. Calculate the dimensions of the rectangle to one decimal place.
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Question 1024293: how do i solve this question or one similar:
The perimeter of a rectangle is 20cm and its area is 14cm^2. Calculate the dimensions of the rectangle to one decimal place. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The perimeter of a rectangle is 20cm and its area is 14cm^2. Calculate the dimensions of the rectangle to one decimal place.
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2(L+W) = 20cm
L*W = 14cm^2
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L+W = 10
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Substitute for "W" and solve for "L"::
L(10-L) = 14
10L-L^2 = 14
L^2 - 10L + 14 = 0
Use the Quadratic Formula to solve for L::
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L = 1.68..cm
W = 10-1.68 = 8.32...cm
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Cheers,
Stan H.
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