Geometry Problem 1494 with Solution: Parallelogram, Midpoints, Octagon, Areas
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.
Typography and Sketch of Problem 1494
Geometric Art using Mobile Apps
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.
A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.