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?