a rectangle park is 14 miles long and 7 miles wide how long is a pedestrian rout that runs diagonally across the park

Answer 1

To find the length of the pedestrian route that runs diagonally across the rectangle park, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the two other sides of the right-angled triangle are the length and the width of the park. Let's call the length L and the width W.

Therefore, L = 14 miles and W = 7 miles.

Using the Pythagorean theorem, the length of the diagonal (D) can be calculated as:

D^2 = L^2 + W^2

D^2 = 14^2 + 7^2
D^2 = 196 + 49
D^2 = 245

Taking the square root of both sides, we find:

D = √245

D ≈ 15.652 miles

Therefore, the length of the pedestrian route that runs diagonally across the park is approximately 15.652 miles.