What is the perimeter of the rectangle with the coordinates (0,0), (0,5), (6,5) and (6,0)?
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1 point
22 units
12 units
10 units
30 units
The perimeter of the rectangle is 22 units.
To find the perimeter, we need to add up the lengths of all four sides. Using the distance formula, we can find the length of each side:
- Side 1: (0,0) to (0,5) is a vertical line segment of length 5 units.
- Side 2: (0,5) to (6,5) is a horizontal line segment of length 6 units.
- Side 3: (6,5) to (6,0) is a vertical line segment of length 5 units.
- Side 4: (6,0) to (0,0) is a horizontal line segment of length 6 units.
Adding up these lengths, we get:
5 + 6 + 5 + 6 = 22 units.
Therefore, the answer is 22 units.
To find the perimeter of a rectangle, we need to determine the lengths of all four sides and then add them up.
Given the coordinates (0,0), (0,5), (6,5), and (6,0), we can see that:
- The length of the side from (0,0) to (0,5) is 5 units (vertical distance).
- The length of the side from (0,5) to (6,5) is 6 units (horizontal distance).
- The length of the side from (6,5) to (6,0) is 5 units (vertical distance).
- The length of the side from (6,0) to (0,0) is 6 units (horizontal distance).
Adding up all the side lengths, we get:
5 units + 6 units + 5 units + 6 units = 22 units.
Therefore, the perimeter of the rectangle is 22 units.
So, the correct answer is: 22 units.
To find the perimeter of a rectangle, we need to calculate the sum of all sides of the rectangle.
To calculate the length of each side, we can use the distance formula between two points in a coordinate plane, which states that the distance between two points with coordinates (x1, y1) and (x2, y2) is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between each pair of consecutive points:
1. Distance between (0,0) and (0,5):
Distance = √((0 - 0)^2 + (5 - 0)^2)
= √(0 + 25)
= √25
= 5 units
2. Distance between (0,5) and (6,5):
Distance = √((6 - 0)^2 + (5 - 5)^2)
= √(36 + 0)
= √36
= 6 units
3. Distance between (6,5) and (6,0):
Distance = √((6 - 6)^2 + (0 - 5)^2)
= √(0 + 25)
= √25
= 5 units
4. Distance between (6,0) and (0,0):
Distance = √((0 - 6)^2 + (0 - 0)^2)
= √(36 + 0)
= √36
= 6 units
Now, let's calculate the perimeter by adding up all four sides:
Perimeter = 5 + 6 + 5 + 6
= 22 units
Therefore, the perimeter of the rectangle with the given coordinates is 22 units. So, the correct answer is "22 units".