A shop has in its stock 80 rectangular celebrity posters. All of these posters have a width

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A shop has in its stock 80 rectangular celebrity posters. All of these posters have a width to height ratio of 1: √2, and their mean perimeter is 231.8cm.

Given that the sum of the squares of the widths is 200120cm2, find the standard deviation of the widths of the posters.

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