Question

A square has an area of 4x^{2} + 12xy + 9y^{2} square meters. What is the perimeter of the square?

Answer 1

Perimeter = 4L = 4(2x+3y) = 8x+12y

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