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You are planning to use a tile design in your new room. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 11 cm, what will be the exact area of each hexagonal shape? A. 3,993 cm^2 B. 181.5 root 3 cm^2 C. 132 root 3 cm^2 D. 33 cm^2

You are planning to use a tile design in your new room. The tiles are equilateral-example-1
User Patsweet
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2 Answers

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bahhahaha I like math
User Lance Shi
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Answer:

B. 181.5√3 cm^2

Explanation:

The area of a regular hexagon with side length s is given by ...

A = (3√3/2)s²

For side length s = 11 cm, the area is ...

A = (3√3/2)(11 cm)² = 363√3/2 cm²

A = 181.5√3 cm²

User JHumphrey
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