Answer:
11. 17.7 units
12. 24.7 units
Explanation:
The perimeter of a two-dimensional shape is the distance all the way around the outside.
To find the perimeter of a polygon, sum the lengths of its sides.
Use the distance formula to find the length of each side.

Question 11
Given points:
- A = (-2, 1)
- B = (2, 5)
- C = (5, 1)
Use the distance formula to find the length of each side of ABC:



To find the perimeter, sum the sides:

Question 12
Given points:
- A = (-3, 5)
- B = (1, 6)
- C = (3, -2)
- D = (-1, -3)
After plotting the given points, it is clear that the polygon is a parallelogram. As the opposite sides of a parallelogram are equal in length:
Therefore, we only need to find the length of two sides to calculate the perimeter.
Use the distance formula to find AB and BC:


Therefore, the perimeter of ABCD is:
