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babymother [125]
3 years ago
15

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

Mathematics
2 answers:
Nata [24]3 years ago
8 0

Answer:

<h2>41.57 cm²</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • geometry
  • PEMDAS
<h3>tips and formulas:</h3>
  • area of a regular hexagon when apothem is given:½×P×A
<h3>let's solve:</h3>

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

umka2103 [35]3 years ago
4 0

Answer:

41.57

Step-by-step explanation:

took the test

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