Question

Find the area of the regular polygon.
Round to the nearest tenth.
16 fi
[ ? ] ft2

Answer 1

110.9ft²

Explanation:

The given regular polygon is a triangle.

Therefore it is an equilateral triangle.

Area of an equilateral triangle is given by:

`A = ( √(3) )/(4) {s}^(2)`

Where s is the magnitude of one side.

From the given diagram, the side of the equilateral triangle is s=16ft.

`A = ( √(3) )/(4) * {16}^(2)`

This implies that:

`A = ( √(3) )/(1) * 4 * 16 {ft}^(2)`

This simplifies to:

`A = 64 √(3) {ft}^(2)`

`A = 110.85`

The area to the nearest tenth is 110.9 ft²