The diagram shows a plan of a square lawn, with a rectangular flowerbed cut from it. The flower bed is half the length of the lawn. The lawn is x metres long, and the flowerbed is y m in width I have 100m^2 of plastic 'lawn edging' which I intend to use on all 4 sides of the lawn and also all 4 sides of the flowerbed. I also have a packet of grass seed, which states that it will cover 279m^2. What should be the dimensions of each of the lawn and flowerbed?