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a board 35 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.

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sqdancefan

9514 1404 393

Answer:

  14 ft

Step-by-step explanation:

The ratio of lengths is ...

  shortest : longest = (2/3) : 1 = 2 : 3

Then the ratio of the shortest to the total is ...

  shortest : (shortest +longest) = 2 : (2 +3) = 2/5

The shortest piece length is ...

  (2/5)×(35 ft) = 14 ft

The shorter piece of the board is 14 ft long.

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