Answer:
[tex]\boxed{\blue{ \sf Perimeter \ of \ the \ figure \ will \ be \ 28 units . }}[/tex]
Step-by-step explanation:
Given points to us are ,
[tex]\qquad A(-4,2) \\\qquad B(3,2)\\\qquad C(3,-5) \\\qquad D(-4,-5) [/tex]
For the graph refer to the attachment .
On plotting the graph we see that , it forms a shape of a square .
And , Distance between two points is 4 + 3 = 7 units .
And , the perimeter of square is given by ,
[tex]\qquad \boxed{\red{\sf Perimeter_{square}=4(side) }}[/tex]
[tex]\implies Perimeter_{square}=4(side) \\\\ \implies Perimeter= 4 \times 7 units \\\\\boxed{\pink{\tt \implies Perimeter_{square}=28 \:units . }}[/tex]
Hence the perimeter of the figure is 28 units .