Based on the coordinates of the vertices of the quadrilateral ABCD, we can find the perimeter to be 18.64 units. The area is 18.96 units².
First, find the distance between the points of the quadrilateral:
Distance formula is:
d = √( (x₂ - x₁)² + (y₂ - y₁)²)
Distance for AB:
= √( (6 - 3)² + (5 - 5)²)
= 3
Distance for BC:
= √( (4 - 6)² + (-1 - 5)²)
= 6.32
Distance of CD:
= √( (1 - 4)² + (-1 - (-1)²)
= 3
Distance of AD:
= √( (1 -3)² + (-1 -5)²)
= 6.32
Perimeter is:
= 6.32 + 6.32 + 3 + 3
= 18.64 units
The area of the quadrilateral would be:
= 3 x 6.32
= 18.96 units²
Find out more on the distance between points at https://brainly.com/question/24203332.
#SPJ1