Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 505050 meters.

Question

What is the diagonal distance across the plaza?

Answer 1

Let's call the diagonal distance across the plaza D. Since the plaza is square, we can use the Pythagorean theorem to find D:

D^2 = 5050^2 + 5050^2
D^2 = 2 * (5050^2)
D = sqrt(2 * (5050^2))

Now we can simplify the expression:

D = 5050 * sqrt(2)

So, the diagonal distance across the plaza is 5050√2 meters.