Exams › SSC CGL (Prelims) › General

The side of a regular hexagon is two-thirds the side of an equilateral triangle. If the perimeter of the triangle is 27 cm, what is the perimeter of the hexagon?

1. 18 cm
2. 36 cm
3. 24 cm
4. 42 cm

Correct answer: 36 cm

Solution

The side of the equilateral triangle is $27/3 = 9$ cm. The side of the hexagon is two-thirds of that, i.e. $\frac{2}{3}\times 9 = 6$ cm. A regular hexagon has 6 equal sides, so its perimeter is $6\times 6 = 36$ cm.

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