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Consider the regular hexagon shown below. What is the area of the hexagon? (attached image)

A. 64.5 cm^2
B. 30cm^2
C. 21.5 cm^2
D. 10.75 cm^2

ANSWER ASAP PLEASE

Consider the regular hexagon shown below. What is the area of the hexagon? (attached-example-1
asked
User Olegr
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1 Answer

1 vote
The answer is C. 21.5 cm^2.

To find the area of a regular hexagon, you can use the formula:

Area = (3√3/2) × s^2

where s is the length of a side of the hexagon.

In this case, we can see that each side of the hexagon has length 2 cm. Substituting this value into the formula, we get:

Area = (3√3/2) × (2 cm)^2
Area = (3√3/2) × 4 cm^2
Area = (3 × 1.732/2) × 4 cm^2
Area = 5.196 × 4 cm^2
Area = 20.784 cm^2

Therefore, the area of the hexagon is approximately 21.5 cm^2 (rounded to one decimal place).
answered
User Sergey Romanov
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8.0k points

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