The figure below shows a parallelogram ABCD with midpoints M, N, P, and Q of its sides AB, BC, CD, and AD respectively. The lines AN, AP, BP, BQ, CM, CQ, DM, and DN intersect to form an octagon EFGHIJKL with area S1. You are required to prove that \({S_1} = {7 \over 25}{S}\), where S is the area of parallelogram ABCD.
Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.
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