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both figures are regular pentagons. what is the perimeter of figure b?

Question

both figures are regular pentagons. what is the perimeter of figure b?

Explanation:

Step1: Recall the property of regular pentagon

A regular pentagon has all sides equal.

Step2: Calculate the perimeter formula

The perimeter \(P\) of a regular pentagon is \(P = 5\times\) side length.

Step3: Determine the side length of figure B

Since both are regular pentagons, figure B has the same side - length as figure A. Given side length \(s=7\) ft.

Step4: Calculate the perimeter of figure B

Using the formula \(P = 5s\), substitute \(s = 7\) ft. So \(P=5\times7\) ft.

Answer:

\(35\) ft