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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

2 Answers

4 votes

Answer:

41.57

Explanation:

took the test

User Smftr
by
3.2k points
5 votes

Answer:

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)

User James Tanner
by
3.3k points