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Question

Quantitative Ability and Data Interpretation Question on Mensuration

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?Square with equilateral triangles

A

3+2\sqrt 3+2

B

2+3\sqrt 2+\sqrt 3

C

1+31+\sqrt 3

D

2+2\sqrt 2+2

E

3+23+\sqrt 2

Answer

3+2\sqrt 3+2

Explanation

Solution

The correct option is (A): 3+2\sqrt 3+2.