What is the perimeter of a regular pentagon with 2 consecutive vertices at (-1,2) and (3,-1) ? a 25 units b 15 units c 20 units d 10 units

Question

Jean Yoder

Mathematics

23 February, 10:23

What is the perimeter of a regular pentagon with 2 consecutive vertices at (-1,2) and (3,-1) ? a 25 units b 15 units c 20 units d 10 units

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Answers (1)

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Chloe Case · Answer 1

a. 25 units

Step-by-step explanation:

The distance formula can be used to find the length of the given side.

d = √ ((x2 - x1) ² + (y2 - y1) ²) = √ ((3 - (-1)) ² + (-1-2) ²) = √ (16+9) = √25 = 5

If each of the 5 sides has length 5 units, then the perimeter is ...

5 * (5 units) = 25 units