Answer:
16√2 or 22.63 units to the nearest hundredth.
Explanation:
By Pythagoras the sum of the squares of adjacent sides of the square = 8 squared. So, if the side is x units long, then:
x^2 + x^2 = 8^2
2x^2 = 64
x^2 = 32
x = √32.
So the perimeter = 4√32
= 4*√16*√2
= 16√2.