A regular 15-gon has a perimeter of 150 m. To the nearest tenth, what is the area of the figure?

In the problem, it was being highlighted that the polygon is a 15-gon which means it is a Pentadecagon which has a formula for the area shown below:

A=15a²/8 (√3 + √15 + √2 √ (5+√5))

A=15a²/8 (9.409)

where a is the side measurement of the polygon

To get value, we use the given perimeter such as

Perimeter=15a

150=15a

a=10m

Solving for the area:

Area=15a²/8 * (9.409)

= (15 * (10²) / 8) * (9.409)

Area = 1,764.19 m²