The lengths of 45 ropes used at an outdoor recreational centre can be extended by 30% when

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The lengths of 45 ropes used at an outdoor recreational centre can be extended by 30% when stretched. The sum of the squares of their stretched lengths is 0.0507km2 and their natural lengths, x metres, are summarised by ­Σ(x − 20)2 = 1200. Find the mean natural length of these 45 ropes.

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