# What is the area of a regular hexagon with a 48-inch perimeter?

First of all, if the perimeter of a regular hexagon measures

To compute the area, you can divide the figure in equilateral triangles as follows.

Given the side

In our case

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To find the area of a regular hexagon, you can use the formula:

Area = (3√3 * side length^2) / 2

Given the perimeter of the hexagon is 48 inches, divide by 6 to find the length of each side:

48 inches ÷ 6 = 8 inches

Substitute the side length into the formula:

Area = (3√3 * 8 inches^2) / 2

Area = (3√3 * 64 square inches) / 2

Area = (192√3 square inches) / 2

Area = 96√3 square inches

So, the area of the regular hexagon with a 48-inch perimeter is 96√3 square inches.

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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.

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.

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.

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