The perimeter of a regular hexagon is 180 centimeters. What is the area? (Round your answer to the nearest square centimeter.)

For a regular hexagon, the formula for area can be expressed as:

Area = (3√3 s2) / 2, where s is the length of a side of the regular hexagon.

Perimeter is the sum of all sides of a shape.

Since a hexagon has six equal sides, and you are given that it’s perimeter is equal to 180cm, you can find the length each side like this:

180cm / 6 = 30cm

Now remember in the area formula above that "s" represents the length of one side of a hexagon; this means that here

s = 30cm

Now plug your found value of "s" into the above area formula!