Sunday Times Teaser 748
by G H Dickson
Young Bob had been given a carpentry set and with it a rectangular board (whose diagonal measured less than 1 1/2 metres) on which to practise using his saw. With straight cuts of successively greater length and aggregating to an exact number of metres, he first proceeded to saw dissimilar triangular pieces off each corner of the board in turn, the remaining quadrilateral piece being put aside for another day. All the 12 sides of the sawn-off pieces measured exact and different numbers of centimetres.
What were the length and width of the board?