Question

Find the area of the regular polygon.
Round to the nearest tenth.
16 ft​

Answer 1

Given:

Given that the side of the regular polygon is 16 feet.

We need to determine the area of the polygon.

Area of the polygon:

The area of the polygon can be determined using the formula,

`Area =(s^2 n)/(4 \ tan (180)/(n))`

where n is the number of sides,

s is the side length.

Substituting n = 3 and s = 16, we get;

`Area =(16^2 (3))/(4 \ tan (180)/(3))`

Simplifying, we get;

`Area =((256) (3))/(4 \ tan \ 60)`

`Area = (768)/(6.928)`

Dividing, we get;

`Area = 110.85`

Rounding off to the nearest tenth, we have;

`Area = 110.9`

Thus, the area of the regular polygon is 110.9 square units.