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Sunday Times Teaser 2669 – Extending the Garden

by Graham Smithers

George and Martha had a square garden whose sides were each 10 metres in length but they extended it by adding acute-angled triangles onto each side to create a new garden with eight straight sides.

The lengths of these eight sides are all different whole numbers of metres, the minimum being 1 metre and the maximum 13 metres.

Their average length is also a whole number of metres.

In increasing order, what are the lengths of the eight fences?

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