Answer:
Perimeter = 4L = 4(2x+3y) = 8x+12y
Step-by-step explanation:
Given:
square with area A(x,y) = 4x^2+12xy+9y^2
Find perimeter.
A(x,y) = (2x+3y)^2
Length of each side
L = sqrt( A(x,y) ) = sqrt((2x+3y)^2) = 2x+3y
Perimeter = 4L = 4(2x+3y) = 8x+12y
