Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

What is the area of an equilateral triangle of side $4\sqrt{3}$ cm ?

Options:

$15\sqrt{3}$ cm2

$16\sqrt{3}$ cm2

$20\sqrt{3}$ cm2

$12\sqrt{3}$ cm2

Correct Answer:

$12\sqrt{3}$ cm2

Explanation:

The side of a equilateral triangle = $4\sqrt{3}$ 

Then the area of a equilateral triangle = \(\frac{ \sqrt {3}}{4}\) (side)2

= \(\frac{ \sqrt {3}}{4}\) ($4\sqrt{3}$)2

= \(\frac{ \sqrt {3}}{4}\) (48)

= $12\sqrt{3}$ cm2