Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.
What is the diagonal distance across the plaza?
We can use the Pythagorean theorem to solve the problem. In a square, the diagonal is the hypotenuse of a right-angled triangle with each side equal to the length of the square. So, in this case, the diagonal distance (d) across the plaza is:
d² = 50² + 50²
d² = 2,500 + 2,500
d² = 5,000
d = sqrt(5,000)
d ≈ 70.7 meters
Therefore, the diagonal distance across the plaza is approximately 70.7 meters.