Inside the square ABCD are the points E, F, G and H  such that the triangles ABE, BCH, CDG and DAF are equilateral. Find the ratio of the area of the square ABCD and the area of the quadrilateral EFGH.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Inside the square ABCD are the points E, F, G and H  such that the triangles ABE, BCH, CDG and DAF are equilateral. Find the ratio of the area of the square ABCD and the area of the quadrilateral EFGH.

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