Illuminations: Square in a Square

A regular octagon is inscribed inside a square. Another square is inscribed inside the octagon. What is the ratio of the area of the smaller square to the area of the larger square?

This brainteaser was written by Derrick Niederman.

VIEW SOLUTION

STEAM Topics Resource Audience Grade Level Tags PDFs

Math Topics

Area, Perimeter & Volume, Geometry, Ratios, Rates & Percents

High School

9th Grade, 10th Grade, 11th Grade, 12th Grade

Area, Math Puzzles, Parallelograms

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Illuminations: Square in a Square

A regular octagon is inscribed inside a square. Another square is inscribed inside the octagon. What is the ratio of the area of the smaller square to the area of the larger square?

This brainteaser was written by Derrick Niederman.

VIEW SOLUTION