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the perimeter of a regular hexagon is 72 inches. find the length of eac…

Question

the perimeter of a regular hexagon is 72 inches. find the length of each of its sides. 66 12 432 72

Explanation:

Step1: Recall the property of a regular hexagon

A regular hexagon has 6 equal - length sides. Let the length of each side be \(x\). The perimeter \(P\) of a regular hexagon is given by the formula \(P = 6x\).

Step2: Solve for \(x\)

We know that \(P=72\) inches. Substitute \(P = 72\) into the formula \(P = 6x\). Then we have the equation \(72=6x\).
To solve for \(x\), use the division operation: \(x=\frac{72}{6}\).
Since \(72\div6 = 12\), the length of each side \(x = 12\) inches.

Answer:

B. 12