the diagonal of a square is of length 6cm. Find the exact perimeter of the square

Question

 Requires Pythagoras Theorem

Answer 1

Let s = the length of each side of the square

s² + s² = 6²

2s² = 36

s² = 18

s = √18 =√9√2 = 3√2 cm

P = 4s

P = 4(3√2)

P = 12√2 cm