What is the perimeter of the rectangle that results from connecting the following points: (-3,1), (-3,2), (0,2), and (0,1)?

1 answer

To find the perimeter of the rectangle, we need to add up the lengths of all four sides. We can find the length of each side using the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Side 1: (-3,1) to (-3,2)
distance = √((-3 - (-3))^2 + (2 - 1)^2) = 1

Side 2: (-3,2) to (0,2)
distance = √((0 - (-3))^2 + (2 - 2)^2) = 3

Side 3: (0,2) to (0,1)
distance = √((0 - 0)^2 + (1 - 2)^2) = 1

Side 4: (0,1) to (-3,1)
distance = √((-3 - 0)^2 + (1 - 1)^2) = 3

Adding up all four sides, we get:

1 + 3 + 1 + 3 = 8

Therefore, the perimeter of the rectangle is 8 units.