Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

What is the area (in sq cm) of a regular hexagon of side 12 cm?

Options:

\(\frac{11}{2}\sqrt{3}\) 

216\(\sqrt{3}\)

\(\frac{17}{2}\sqrt{3}\) 

\(\frac{21}{2}\sqrt{3}\) 

Correct Answer:

216\(\sqrt{3}\)

Explanation:

Area of regular hexagon = 6 × area of one equilateral triangle.

                                       = 6 × \(\frac{\sqrt{3}}{4}\) a2

                                       = 6 × \(\frac{\sqrt{3}}{4}\) 122

                                       = 6 × \(\frac{\sqrt{3}}{4}\) × 144

                                       = 216\(\sqrt{3}\)