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16 February, 08:41

a 36 inch board is to be cut into three pieces so that the piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces. whats the length of the first piece?

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  1. 16 February, 09:09
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    First piece = 6 inches

    Second piece = 12 inches

    Third piece = 18 inches

    Step-by-step explanation:

    Length of the first piece = x

    Length of the second piece = 2x

    Length of the third piece = 3x

    Total length is 36 inches:

    x + 2x + 3x = 36

    6x = 36

    x = 6

    Therefore, the lengths are:

    First piece = 6 inches

    Second piece = 12 inches

    Third piece = 18 inches
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