SOLUTION: Two square carpets are used in the reception area of a hotel. The sum of the areas of the carpets is 769 square feet. The difference of the areas of the carpets is 481 square feet.

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Question 1078115: Two square carpets are used in the reception area of a hotel. The sum of the areas of the carpets is 769 square feet. The difference of the areas of the carpets is 481 square feet. Find the dimensions of each carpet.
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two square carpets are used in the reception area of a hotel. The sum of the areas of the carpets is 769 square feet. The difference of the areas of the carpets is 481 square feet. Find the dimensions of each carpet.
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x^2 + y^2 = 769
x^2 - y^2 = 481
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Add and solve for "x":
2x^2 = 1250
x^2 = 625
x = 25 ft (side of the larger square)
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Subtract and solve for "y"::
2y^2 = 288
y^2 = 144
y = 12 ft (side of the smaller square)
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Cheers,
Stan H.
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Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Side of each, x and y

system%28x%5E2%2By%5E2=769%2Cx%5E2-y%5E2=481%29




highlight%28system%28x=25%2Cy=12%29%29