# Long lengths of rope need to be cut in the ratio 6:2:1. How long is the longest piece of rope from a 54 m length of rope?

The ratios add up to

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The longest piece is 36 metres long

The longest piece is 6 parts long giving:

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To find the length of the longest piece of rope when cutting a 54 m length of rope in the ratio 6:2:1, first, add the parts of the ratio (6 + 2 + 1 = 9). Then, divide the total length of the rope by the total parts of the ratio (54 m ÷ 9 = 6 m). Finally, multiply the first part of the ratio by this value to find the length of the longest piece (6 × 6 m = 36 m). Therefore, the longest piece of rope is 36 meters long.

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