Question 71

side of a hexagon is 4 cm. Side of a squareis 4$$\surd2$$ cm. What is the ratio of their areas?

Solution

Area of hexagon = 6 $$\times \frac{\sqrt{3}}{4}\times a^{2}$$

Area of a square = $$s^{2} $$

area of hexagon : area of square

6 $$\times \frac{\sqrt{3}}{4}\times 4^{2}$$ : 4$$\surd2$$ $$\times $$ 4$$\surd2$$

$$3\surd3 : 4$$

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