Question 215951
Area of original square = A


Double the area, new area = 2A


Original side of square = s, so A = s^2.


Side of NEW square x^2 = 2A,
x^2 = 2s^2
{{{x = sqrt(2s^2) }}} or {{{x=-sqrt(2x^2)}}}  Reject the negative answer.

{{{x = s*sqrt(2)}}}


The side is multiplied by a factor of {{{sqrt(2)}}}.


R^2


Seminole State College of Florida