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L + W = P/2 = 34, so L = 34 - W;

L x W = 280 or (34 - W) x W = 280 ie 34W - W2 = 280 which is W2 - 34W + 280 = 0

This factorises as (W - 14)(W - 20) so the sides are 14 and 20 feet, the latter being the longer.

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Q: The perimerter of a rectangular concrete slab is 68 feet and its are is 280 square feet What is the length of the longer side of the slab?
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