Answer:
6 + 2√10 units.
Step-by-step explanation:
We can use the distance formula to find the distance between the points. The points are ,
Distance 1 :-
=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₁ = √{ (0-3)² + (2-1)² }
=> D₁ = √{ 3² + 1² }
=> D₁ = √{ 9+1}
=> D₁ = √10
Distance 2:-
=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₂ = √{ (6-3)² + (2-1)² }
=> D₂ = √{ 3² + 1² }
=> D₂ = √{ 9 + 1}
=> D₂ = √10
Distance 3 :-
=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₃ = √{ (6-0)²+(2-2)²
=> D₃ = √6²
=> D₃ = 6
→ Perimeter = D₁ +D₂ + D₃
→ Perimeter = √10 + √10 + 6
→ Perimeter = 6 + 2√10 units
Hence the perimeter is 6+2√10 units.
