Question

A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.

What is the area of the hexagonal floor tile?

Enter your answer as a decimal to the nearest hundredth.
area = cm2

Answer 1

41.57

Explanation:

took the test

Answer 2

Area of regular hexagon
`\approx 41.57 \: {cm}^(2)`

Explanation:

Area of regular hexagon

`= 6 * area \: of \: one \: triangle \\ \\ = 6 * (1)/(2) * 4 * 2 √(3) \\ \\ = 24 √(3) \\ \\ = 41.5692194 \: {cm}^(2) \\ \\ \approx 41.57 \: {cm}^(2)`