Question

a regular heptagon is a 7 - sided figure whose seven sides all have equal length find the perimeter of a regular heptagon that has a side of 14.25 inches
the perimeter of the regular heptagon is
(simplify your answer type an integer or a decimal )

Explanation:

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

The perimeter \(P\) of a regular polygon is given by \(P = n\times s\), where \(n\) is the number of sides and \(s\) is the length of each side.

Step2: Identify the values of \(n\) and \(s\)

For a heptagon, \(n = 7\). The side length \(s=14.25\) inches.

Step3: Calculate the perimeter

Substitute \(n = 7\) and \(s = 14.25\) into the formula \(P=n\times s\). So \(P=7\times14.25\).

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Answer:

\(99.75\)