The end points of one side of a regular pentagon are (-1,4) and (2,3). what is the perimeter of the pentagon?
(1) the square root of 10
(2) 5 times the square root of 10
(3) 5 times the square root of 2
(4) 25 times the square root of 2

To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:



D_{AB}= \sqrt{(2--1)^2+{(3-4)^2} 





Now, the formula for the perimeter of a pentagon is 
P = 5×side length
 
So...
Perimeter = 5×

The answer is (2)

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