Question

3x2+2

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

Answer 1

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

Explanation:

Given the lengths of the sides of a given polygon

• 3x²+2

• -2x²+10

• 2x-7

• -5x-4

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