Answer:
[tex]5c^2+2cd-2d^2-15[/tex]
Step-by-step explanation:
Perimeter of a 2D shape = distance around the outside.
Therefore, to calculate the perimeter, sum the lengths of all the sides.
[tex]\textsf{perimeter} \ =(4c^2+4cd+12)+(c^2-d^2+1)+(3cd+4d^2-30)+(-5d^2-5cd+2)[/tex]
[tex]=4c^2+4cd+12+c^2-d^2+1+3cd+4d^2-30-5d^2-5cd+2[/tex]
[tex]=4c^2+c^2+4cd+3cd-5cd+4d^2-d^2-5d^2+12+1-30+2[/tex]
[tex]=5c^2+2cd-2d^2-15[/tex]
