Question

The area of the regular hexagon is 10.4 in.2.

A regular hexagon has side lengths of 2 inches and an area of 10.4 inches squared. An apothem is shown.

What is the measure of the apothem, rounded to the nearest tenth of an inch?

1.3 in.
1.7 in.
2.0 in.
3.4 in.

Answer 1

Use A = 1/2 · (perimeter) · a. For side 2, perimeter = 6·2 = 12, so 10.4 = 1/2·12·a = 6a → a = 10.4/6 ≈ 1.7333 in. Rounded to the nearest tenth: 1.7 in.