A rectangular park, with dimensions of 1500 feet by 2000 feet, has a diagonal walking path that goes from the top northeast corner to the bottom southwest corner. How long is the walking path?
We can use the Pythagorean Theorem to find the length of the diagonal walking path. The length of one side of the rectangle is 1500 feet and the length of the other side is 2000 feet. Let's call the length of the diagonal path "d".
Using the Pythagorean Theorem, we have:
d^2 = 1500^2 + 2000^2
d^2 = 2,250,000 + 4,000,000
d^2 = 6,250,000
Taking the square root of both sides:
d = √(6,250,000)
d ≈ 2500
Therefore, the length of the diagonal walking path is approximately 2500 feet.