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In the figure PQRS is a square of side l cm. Points X and Y are on SR and SP respectively such that SX = #1/3#SR and SY= #2/3#SP.
Show that the area of the shaded region is #7/18 l^2cm^2. #
a) Show that the sum of the areas of triangles SXY and QXY is equal to half the area of the square.
b) Given that the area of the shaded region is #56 cm^2#, find the value of l and hence calculate the area of triangle SXY.