Question

What is the perimeter of a polygon with the verticals at (-1,3), (-1,6) (2,10) (5,6)and (5,3)

Do not round any side lengths. Answer in units

Answer 1

22 units.

Explanation:

To calculate the perimeter of the polygon, first of all, the lengths have to be calculated. There are 5 lengths that have to be calculated. The formula to calculate length is:

Distance = ((y2-y1)^2 + (x2-x1)^2)^0.5

Side 1: ((6-3)^2 + (-1+1)^2)^0.5 = (9 + 0)^0.5 = 9^0.5 = 3.

Side 2: ((10-6)^2 + (2+1)^2)^0.5 = (16 + 9)^0.5 = 25^0.5 = 5.

Side 3: ((6-10)^2 + (5-2)^2)^0.5 = (16 + 9)^0.5 = 25^0.5 = 5.

Side 4: ((3-6)^2 + (5-5)^2)^0.5 = (9 + 0)^0.5 = 9^0.5 = 3.

Side 5: ((3-3)^2 + (5+1)^2)^0.5 = (0 + 36)^0.5 = 36^0.5 = 6.

Perimeter of the polygon = sum of all sides.

Perimeter = 3 + 5 + 5 + 3 + 6 = 22 units.

Therefore, the perimeter is 22 units!!!