Question

represents the perimeter of the polygon? 7x - 3 4x + 1 5x^2 4x^2 + 9x + 5

Explanation:

Step1: Recall perimeter formula

The perimeter of a polygon is the sum of the lengths of its sides.

Step2: Add side - lengths

We add the four side - lengths: $(7x - 3)+(4x + 1)+5x^{2}+(4x^{2}+9x + 5)$.
First, combine like - terms for the $x^{2}$ terms: $5x^{2}+4x^{2}=9x^{2}$.
Then, combine like - terms for the $x$ terms: $7x+4x + 9x=20x$.
Finally, combine the constant terms: $-3 + 1+5=3$.
So the sum is $9x^{2}+20x + 3$.

Answer:

$9x^{2}+20x + 3$