question_answer

If the sides of an equilateral is 'a', what is the area?

A) \[\frac{3}{4}{{a}^{2}}\]                            

B)  \[\frac{\sqrt{3}}{4}{{a}^{2}}\]

C) \[\frac{3\sqrt{3}}{4}{{a}^{2}}\]               

D) \[\frac{3\sqrt{3}}{2}{{a}^{2}}\]

Correct Answer: B

Solution :

Area                 Area \[=\frac{1}{2}.\frac{a}{2}.\frac{\sqrt{3}}{2}a=\frac{\sqrt{3}{{a}^{2}}}{4}\]