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19 August, 15:00

A wooden plank is cut into three pieces. The ratio of the length of the pieces of wood is 6:10:12. If the length of the original wooden plank is 812 centimetres, what is the length of the longer piece of wood?

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  1. 19 August, 15:19
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    290 centimetres

    Step-by-step explanation:

    The ratio of the length of the pieces of wood is 6 : 10 : 12.

    We have to find the total ratio first:

    6 + 10 + 12 = 28

    The longer piece of wood has ratio 10.

    The length of the original wooden plank is 812 centimetres, therefore, the length of the longer piece of wood is:

    10/28 * 812 = 290 centimetres
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