What is the area (in sq cm) of a regular

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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 10 cm?

Options:

150 $\sqrt{3}$

$\frac{35}{2}\sqrt{7}$

$\frac{17}{2}\sqrt{7}$

$\frac{13}{2}\sqrt{7}$

Correct Answer:

150 $\sqrt{3}$

Explanation:

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

= 6 × $\frac{\sqrt{3}}{4}$ a²

= 6 × $\frac{\sqrt{3}}{4}$ 10²

= 6 × $\frac{\sqrt{3}}{4}$ × 100

= 150 $\sqrt{3}$