Question

find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long

Answer 1

Regular hexagon consists of 6 congruent triangles.
So the area, A, of the regular hexagon is 6 x the area of one triangle
The area of a triangle is half the base times the height
The height of a triangle is the apothem of the hexagon and the base is the side of the hexagon.

A = 6* 10.4 * (12/2) yard^2 = 374.4 yard^2

Answer 2

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

What is a regular hexagon?

A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.

The area of a regular hexagon = $\frac{1}{2} \times h\times p$

It is given that apothem is 10.4 yards and side is 12 yards long.

The area of a regular hexagon = $\frac{1}{2} \times h\times p$

                                               = 6× 10.4 × (12/2)

                                                = 374.4 yard^2

Thus the area of a regular hexagon is 374.4 yard^2.

Learn more about regular hexagons;

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