XAT 2019 Geometry & Mensuration Question (Medium)

Question

In the picture below, EFGH, ABCD are squares, and ABE, BCF, CDG, DAH are equilateral triangles. What is the ratio of the area of the square EFGH to that of ABCD?! image https optima-learn.b-cdn.net content-images 1776947570172-chatgpt_image_apr_23__2026__06_02_41_pm.png

Optima Learn · Accepted Answer

Let the side of square ABCD be s. Place ABCD as a diamond centered at the origin with vertices A left - ,0 right , B left 0,- right , C left ,0 right , D left 0, right . Now consider side AB. The midpoint of AB is M left - 2 ,- 2 right . An equilateral triangle on base AB has height h 2 s. The outwa

XAT 2019 Geometry & Mensuration — Previous Year Question

XAT 2019

Quantitative

Geometry & Mensuration

Medium

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