Final answer:
The perimeter of the given quadrilateral with side lengths -2x+5, 5x-2y, -x+y, and 7x+3y is 9x + 2y + 5.
Step-by-step explanation:
The perimeter of a quadrilateral is the sum of the lengths of its four sides.
To find the perimeter of the given quadrilateral with side lengths -2x+5, 5x-2y, -x+y, and 7x+3y, we simply add up these four expressions:
Perimeter = (-2x + 5) + (5x - 2y) + (-x + y) + (7x + 3y)
Combining like terms, the perimeter expression simplifies to Perimeter = 9x + 2y + 5.