To find the perimeter
Let ABCD be the vertices of (3,2) (-2,2) (-2,-2) and (3,-2) respectively
A(3,2) B (-2,2) C(-2,-2) and D (3,-2)
We will find the distance AB, BC, CD and DA
Using the distance formula;
Find the distance AB
A(3,2) B (-2,2)
x₁ = 3 y₁=2 x₂=-2 y₂=2
substituting the value into the formula:
Evaluate
Find the distance BC
B (-2,2) C(-2,-2)
x₁ = -2 y₁=2 x₂=-2 y₂=-2
Substitute into the formula
Evaluate
Find the distance CD
C(-2,-2) D (3,-2)
x₁ = -2 y₁=-2 x₂=-3 y₂=-2
Substitute into the formula
Evaluate
Find the distance DA
D(3 -2) A(3, 2)
x₁ = 3 y₁=-2 x₂=3 y₂=2
Substitute into the formula
Evaluate
To get the perimeter, we will add all the distance
That is:
Perimeter = AB + BC + CD + DA
=5 + 4 + 5 + 4
=18
Perimeter = 18