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Find the area of a regular hexagon with side length 6m.If necessary, write your answer in simplified radical form.

Question

Find the area of a regular hexagon with side length 6m.If necessary, write your answer in simplified radical form.

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Solution

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

Area = (3/2) * √3 * s^2

where s is the length of a side. In this case, s = 6m.

So, the area of the hexagon is:

Area = (3/2) * √3 * (6m)^2 = (3/2) * √3 * 36m^2 = 54√3 m^2

So, the area of the regular hexagon with side length 6m is 54√3 m^2.

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