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Ivanshal [37]
1 year ago
14

Find the area of a regular hexagon with a said length of 10 centimeters and a apothem of 5 spuare root 3

Mathematics
1 answer:
erma4kov [3.2K]1 year ago
8 0

Answer:

C

Step-by-step explanation:

the area (A) of the hexagon can be calculated as

A = \frac{1}{2} pa ( p is the perimeter and a the apothem )

p = 6 × 10 = 60 and a = 5\sqrt{3} , then

A = \frac{1}{2} × 60 × 5\sqrt{3}

   = 30 × 5\sqrt{3}

   = 150\sqrt{3}

   ≈ 259.8 cm² ( to the nearest tenth )

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