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Analyze the diagram below and complete the instructions that follow.

A. 90.75 u²
B. 314.4 u²
C. 363.0 u²
D. 628.7 u²

Determine the area of the regular hexagon.

Analyze the diagram below and complete the instructions that follow. A. 90.75 u² B-example-1
User Gabriel H
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1 Answer

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The calculated area of the regular hexagon, using the formula A = 3√3/2 * s² with a side length of 11 units, is approximately 314.4 u², confirming the given value. Here option B is correct.

The formula for the area of a regular hexagon is A = 3√3/2 * s², where s is the length of one side.

Plugging in 11 for s, the area of the regular hexagon is A = 3√3/2 * 11².

Simplifying the expression, the area of the regular hexagon is A = 3√3/2 * 121.

Multiplying the numbers, the area of the regular hexagon is A = 363√3/2.

Using a calculator, the area of the regular hexagon is approximately A = 314.4 u². Here option B is correct.

User Jhakiz
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