Find the perimeter of the figure shown. 5x^2y+3xy-6y and 5xy-1

A)5x^2y+8xy-6y-1
B)13x^3y^2-6y-1
C)10x^4y^2+16x^4y^4-12y^2-2
D)10x^2y+16xy-12y-2

To find the perimeter of a figure with sides of length (5x^2y+3xy-6y) and (5xy-1), we simply add the lengths of both sides together.

(5x^2y+3xy-6y) + (5xy-1)
= 5x^2y+3xy-6y + 5xy-1
= 5x^2y + 3xy + 5xy - 6y - 1
= 5x^2y + 8xy - 6y - 1

Therefore, the perimeter is 5x^2y + 8xy - 6y - 1, which is option:
A) 5x^2y+8xy-6y-1