# Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round your answer to the nearest tenth.

**Solution:**

A regular hexagon with an apothem 10.4 yards long and a side 12 yards long.

The area of the regular hexagon has to be found.

As the hexagon provided is a regular hexagon, each side makes an equal angle with the midpoint.

Area of each triangle = 1/2× base × height

Base = 12 yards

Height = 10.4 yards

Area of each triangle = 1/2 × 12 × 10.4 = 62.4

As there are 6 triangles

Area of hexagon = 6 × Area of a triangle

= 6 × 62.4

= 374.4 yards^{2}

Therefore, the area of a regular hexagon is 374.4 yards^{2}.

## Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round your answer to the nearest tenth.

**Summary:**

The area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long is 374.4 yards^{2}.