A board is 94 cm in length and must be cut so that one piece is 18 cm longer than the other piece. Find the length of each

Question

A board is 94 cm in length and must be cut so that one piece is 18 cm longer than the other piece. Find the length of each piece. Round your
answers to the nearest centimeter, if necessary.

X X+18

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bonexptip 1 month 2022-12-23T20:07:45+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2022-12-23T20:08:51+00:00
    The length of each piece of board if one piece is 18 cm longer than the other piece is 33 cm and 51cm respectively

    Length

    • Total length of board = 94 cm
    • Length of piece 1 = x
    • Length of piece 2 = (x + 18) cm
    Total = length 1 + length 2
    94 = x + (x + 18)
    94 = x + x + 18
    84 = 2x + 18
    • subtract 18 from both sides
    84 – 18 = 2x
    66 = 2x
    • divide both sides by 2
    x = 66/2
    x = 33 cm
    Therefore,
    Length of piece 1 = x
    = 33 cm
    Length of piece 2 = (x + 18) cm
    = (33 + 18)
    = 51 cm
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