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# CAT 2017 [slot 2] Question with solution 15

Question 49:
Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is
1. $3\sqrt{2}$
2. $3$
3. $4$
4. $\sqrt{3}$
Option: 2
Explanation:

The length of the diagonals of a regular hexagon with side s are $\sqrt{3}s$.
Here length of AC = $\sqrt{3}s$ = $\sqrt{3}$ cms
Hence area of the square = $\sqrt{3}^2$ = 3 sq cm

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