goarnarici goarnarici
  • 01-08-2022
  • Mathematics
contestada

The perimeter is 54 m. The apothem is \root(3)(3) . To the nearest tenth, what is the area of this regular polygon?

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MrRoyal
MrRoyal MrRoyal
  • 02-08-2022

The area of this regular polygon is 46.8 square units

How to determine the area of this regular polygon?

The given parameters are:

Perimeter, p = 54 m

Apothem, a = √3

The area of this regular polygon is then calculated as:

Area = 0.5 * Apothem * Perimeter

Substitute the known values in the above equation

Area = 0.5 * √3 *  54

Evaluate the product

Area = 46.8

Hence, the area of this regular polygon is 46.8 square units

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