Question

a regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. what is the approximate area of the hexagon? 224 cm² 336 cm² 448 cm² 672 cm²

Explanation:

Step1: Recall the formula for the area of a regular polygon

The formula for the area \(A\) of a regular polygon is \(A=\frac{1}{2}ap\), where \(a\) is the apothem and \(p\) is the perimeter.

Step2: Substitute the given values into the formula

Given \(a = 14\) cm and \(p=96\) cm.

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Answer:

\(672\mathrm{cm}^{2}\)