ExplanationSince each support is in the shape of a right triangle with legs of length 3 feet and 4 feet, the length of the third side of the support is \(\sqrt{3^2 + 4^2}\), or 5 feet. The total length of the stripping of each support is therefore 3 + 4 + 5, or 12 feet. The company has 6,000 feet of metal stripping available. So, with no waste, the greatest possible number of supports that can be produced is \(\frac{6000}{12}\), or 500. The correct answer is

Choice B.

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Sandy

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