What is the perimeter of the rectangle that results from connecting the following points: (-3,1), (-3,2), (0,2), and (0,1)?
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.
To find the perimeter of a rectangle, we need to calculate the sum of all the sides of the rectangle.
In this case, the given points are (-3,1), (-3,2), (0,2), and (0,1).
Let's start by calculating the length of the two vertical sides of the rectangle. The distance between the points (-3,1) and (-3,2) represents the length of one of the vertical sides. Since both points have the same x-coordinate, we can find the distance by subtracting the y-coordinates.
Distance = y2 - y1 = 2 - 1 = 1 unit
Now, let's calculate the length of the two horizontal sides of the rectangle. The distance between the points (-3,2) and (0,2) represents the length of one of the horizontal sides. Since both points have the same y-coordinate, we can find the distance by subtracting the x-coordinates.
Distance = x2 - x1 = 0 - (-3) = 3 units
The perimeter of the rectangle is the sum of all four sides.
Perimeter = 1 unit + 1 unit + 3 units + 3 units = 8 units
Therefore, the perimeter of the rectangle formed by connecting the given points is 8 units.
To find the perimeter of the rectangle formed by these points, we need to calculate the distance between each pair of consecutive points and sum them up. Here are the step-by-step calculations:
Step 1: Calculate the distance between (-3,1) and (-3,2)
- The x-coordinates are the same, so the distance is the difference between their y-coordinates: |1 - 2| = 1
Step 2: Calculate the distance between (-3,2) and (0,2)
- The y-coordinates are the same, so the distance is the difference between their x-coordinates: |-3 - 0| = 3
Step 3: Calculate the distance between (0,2) and (0,1)
- The x-coordinates are the same, so the distance is the difference between their y-coordinates: |2 - 1| = 1
Step 4: Calculate the distance between (0,1) and (-3,1)
- The y-coordinates are the same, so the distance is the difference between their x-coordinates: |0 - (-3)| = 3
Step 5: Add up the distances to find the perimeter: 1 + 3 + 1 + 3 = 8
Therefore, the perimeter of the rectangle formed by these points is 8 units.