Answer
The diagram represents the sports ground.The lawnmower starts at the bottom, cutting strips of a, b, c, d and then starting his second circuits at e.
Since it requires 11 + 14 = 25 circuits to cut the sports ground and each path is 2 metres wide, then the sports ground is 25 × 2 × 2 = 100 metres wide.
Total area of sports ground = 100L (where L represents the LENGTH of the pitch.)
The first 11 circuits represent 22 paths of 2 metes each or 44 metres.
Hence after 11 circuits the width of the area remaining is 100 − 44 = 56 metres.
(L − 44). 56 = total area remaining.
But the area remaining is half the total area, therefore (L − 44). 56 = 0.5. 100L
56L − 2464 = 50L
6L = 2464
L = 411 (to 3 sig.fig.)
The dimensions of the sports ground are 100 metres by 411 metres.