3x2+2 -5x - 4
2x - 7
-2x2+10
Hint: To find the perimeter of a polygon, add all the sides

The perimeter of a 4-sided polygon: P = x²-3x+1

Step-by-step explanation:

Given the lengths of the sides of a given polygon

The perimeter of a 4-sided polygon can be determined by adding the lengths of all 4 sides.

Perimeter = (3x²+2) + (-2x²+10) + (2x-7) + (-5x-4)

Remove the parentheses

                =3x²+2-2x²+10+2x-7-5x-4

Group like terms

                =3x²-2x²+2x-5x+2+10-7-4

Add similar elements:   3x²-2x²=x²

                 =x²+2x-5x+2+10-7-4

Add similar elements:   2x-5x=-3x

                 =x²-3x+2+10-7-4

                 =x²-3x+1

Therefore, the perimeter of a 4-sided polygon: P = x²-3x+1

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