Answer:
The side of the playground is 15.556m
Step-by-step explanation:
the problem tells us that the patio is square so all its sides will be the same length
the Pythagorean theorem tells us that h² = c1² + c2²
h = Hypotenuse
c1 = leg1
c2 = leg2
Since we know that the sides of the square are all of the same measure, we only need to put only c since the 2 legs will be equal
h² = c² + c²
h² = c² + c²
h² = 2(c²)
22² = 2(c²)
484 = 2(c²)
484/2 = c²
242 = c²
√242 = c
15.556 = c
The side of the playground is 15.556m