Sunday Times Teaser 2760 – Prime Location
by Andrew Skidmore
Published: 16 August 2015 (link)
I have a rectangular garden of area just over one hectare. It is divided exactly into three parts — a lawn, a flower bed, and a vegetable patch. Each of these three areas is a right-angled triangle with sides a whole numbers of metres in length. A fence runs along two adjacent sides of the rectangular garden. The length of the fence is a prime number of metres.
What are the dimensions of the rectangular garden?