Question

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.

Answer 1

The area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long is 374.4 yards2.

Answer 2

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

regular hexagon:

apothem = 10.4 yd

side = 12 yd

Step 02:

geometry:

area:

area of hexagon = 1/2 * apothem * perimeter

perimeter = 6 * side = 6 (12 yd) = 72 yd

area of hexagon = 1/2 (10.4 yd) (72 yd) = 374.4 yd²

The answer is:

374.4 yd²