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