Question 585516
Apply the Pythagorean theorem:
The diagonal (6 inches) of the square is the hypotenuse of a right triangle whose legs are s and s.
{{{6^2 = s^2+s^2}}} Simplify.
{{{36 = 2s^2}}} Divide by 2.
{{{18 = s^2}}} Take the square root.
{{{s = sqrt(18)}}} Simplify.
{{{s = 3sqrt(2)}}}
Perimeter (P):
{{{P = 4s}}}
{{{P = 4*3sqrt(2)}}}
{{{P = 12sqrt(2)}}}inches. and...
Area {{{A = s^2}}}
{{{A = 18}}}sq.in.