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What is the area of a regular hexagon the length of each of whose sides is 4 cm?
Question

What is the area of a regular hexagon the length of each of whose sides is 4 cm?

A.

243cm2 24\sqrt{3}cm^2​​

B.

273cm2 27\sqrt{3}cm^2​​

C.

253cm2 25\sqrt{3}cm^2​​

D.

263cm2 26\sqrt{3}cm^2​​

Correct option is A

Given:

Side of hexagon =4cm

Formula Used:

Area of a hexagon =332a2 \frac{3\sqrt{3}}{2} a^2​​

Where a is side of hexagon

Solution:

Area =332(4)2= \frac{3\sqrt{3}}{2} (4)^2​​

= 332(16)\frac{3\sqrt{3}}{2} (16)​​

=243cm2 24\sqrt{3}cm^2​​

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