SOLUTION: A rectangular lounge has an area of 70 square metres. Its perimeter is 34 metres. What are the dimensions of the lounge?
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Question 969117: A rectangular lounge has an area of 70 square metres. Its perimeter is 34 metres. What are the dimensions of the lounge? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A rectangular lounge has an area of 70 square metres. Its perimeter is 34 metres. What are the dimensions of the lounge?
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Equations:
L*W = 70
L+W = 17
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Substitute for "L" and solve for "W"::
(17-W)W = 70
17W - W^2 = 70
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Rearrange:
W^2 - 17W + 70 = 0
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Factor::
(W-10)(W-7) = 0
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If W = 10, L = 7
If W = 7, L = 10
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Cheers,
Stan H.
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