Question

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?

Answer 1

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.