Question

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what is the exact area of a regular hexagon with side length of 18 inches?
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in²
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Explanation:

Step1: Recall area formula for regular hexagon

Area = $\frac{3\sqrt{3}}{2}s^2$, where $s$ is side length.

Step2: Substitute $s=18$ into formula

Area = $\frac{3\sqrt{3}}{2}(18)^2$

Step3: Calculate $18^2$

$18^2 = 324$

Step4: Compute the product

Area = $\frac{3\sqrt{3}}{2}×324 = 3\sqrt{3}×162 = 486\sqrt{3}$

Answer:

$486\sqrt{3}$