Question

Find the perimeter of the rectangle with vertices l(-2,-1),m(-5,-1),n(-5,-6),o(-2,-6)

Answer 1

To find the perimeter of the rectangle with vertices l(-2,-1),m(-5,-1),n(-5,-6),o(-2,-6), we need to find the distance between each pair of consecutive vertices and then add them up.

The distance formula between two points (x1, y1) and (x2, y2) is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the distances between each pair of consecutive vertices:

1. Distance between l and m:
Distance_lm = √((-5 - (-2))^2 + (-1 - (-1))^2)
Distance_lm = √(3^2 + 0^2)
Distance_lm = √9
Distance_lm = 3

2. Distance between m and n:
Distance_mn = √((-5 - (-5))^2 + (-6 - (-1))^2)
Distance_mn = √(0^2 + 5^2)
Distance_mn = √25
Distance_mn = 5

3. Distance between n and o:
Distance_no = √((-2 - (-5))^2 + (-6 - (-6))^2)
Distance_no = √(3^2 + 0^2)
Distance_no = √9
Distance_no = 3

4. Distance between o and l:
Distance_ol = √((-2 - (-2))^2 + (-1 - (-6))^2)
Distance_ol = √(0^2 + 5^2)
Distance_ol = √25
Distance_ol = 5

Now, we can add up all the distances to find the perimeter:
Perimeter = Distance_lm + Distance_mn + Distance_no + Distance_ol
Perimeter = 3 + 5 + 3 + 5
Perimeter = 16

Therefore, the perimeter of the rectangle with vertices l(-2,-1),m(-5,-1),n(-5,-6),o(-2,-6) is 16 units.