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What is the area of a regular hexagon with a perimeter of 24?

Answer 1

Area is #24sqrt(3)#

First we have to calculate the side. Knowing the perimeter #P# we can write, that:

#a=P/6=24/6=4#

A regular hexagon can be divided to #6# identical equilateral triangles whose side's length is equal to the side of hexagon, so to calculate the area you can use the formula:

#A_h=6*A_t=6*((a^2sqrt(3))/4)=6*((16sqrt(3))/4)=24sqrt(3)#

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Answer 2

Theodore Abad

To find the area of a regular hexagon with a perimeter of 24, first, divide the perimeter by the number of sides (which is 6) to find the length of each side. Then, use the formula for the area of a regular hexagon, which is:

Area = (3√3 / 2) × side length squared.

So, Area = (3√3 / 2) × (24 / 6) squared.

Simplify to find the area.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.