Question

A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 23‾√ 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

41.57 cm²

Explanation:

to understand this

you need to know about:

• geometry
• PEMDAS

tips and formulas:

• area of a regular hexagon when apothem is given:½×P×A

let's solve:

parimeter of a regular hexagon:6a

therefore

=½×[4×6]×2√3 cm²

simplify parentheses:

=½×24×2√3 cm²

simplify fraction:

=24×√3 cm²

=41.57cm²