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

22 units.

Step-by-step 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!