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  3. A construction company will produce identical metal supports in the shape of a r

A construction company will produce identical metal supports in the shape of a r

游客2025-02-23  14
问题 A construction company will produce identical metal supports in the shape of a right triangle with legs of length 3 feet and 4 feet. The three sides of each triangular support are to be constructed of metal stripping. If the company has a total of 6,000 feet of metal stripping and there is no waste of material in the construction of the supports, what is the greatest possible number of supports that the company can produce?
选项 A、428
B、500
C、545
D、600
E、1,000
答案 B
解析 Since 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, 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 6,000/12, or 500. The correct answer is Choice B.
This explanation uses the following strategy.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
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