Question

find the perimeter of the quadrilateral. simplify your
$4c^2 + 4cd + 12$
$-5d^2 - 5cd + 2$
$c^2 - d^2 + 1$
$3cd + 4d^2 - 30$

Explanation:

Step1: Sum all side lengths

$(4c^2 + 4cd + 12) + (-5d^2 - 5cd + 2) + (3cd + 4d^2 - 30) + (c^2 - d^2 + 1)$

Step2: Group like terms

$(4c^2 + c^2) + (4cd - 5cd + 3cd) + (-5d^2 + 4d^2 - d^2) + (12 + 2 - 30 + 1)$

Step3: Simplify each group

$5c^2 + 2cd - 2d^2 - 15$

Answer:

$5c^2 - 2d^2 + 2cd - 15$