# Geometry Problem 1494 with Solution: Parallelogram, Midpoints, Octagon, Areas

The figure below shows
a parallelogram ABCD with M, N, P, and Q midpoints of AB, BC, CD, and AD.
Lines AN, AP, BP, BQ, CM, CQ, DM, and DN determine the octagon EFGHIJKL of
area S_{1}. Prove
that \({S_1} = {7 \over 25}{S}\).

View solution below

## 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.