find the perimeter of a square with a diagonal of 6 square root 2 in.

Question

I am not sure how to figure out this perimeter.

Answer 1

You are told it is a square so the sides are of equal length, a.

If we wanted to find the length of the diagonal of a square with sides length a, then

diagonal = sqrt(2a^2)
=6sqrt(2)

sqrt(2a^2)= 6sqrt(2)
2a^2 = 36 x 2

a^2 = 36

so a=6

now find the perimeter