Question

A rectangular park that measures 40 yards by 80 yards will have a diagonal path built. How long will the diagonal path be? Round your answer to the nearest tenth.

Answer 1

To find the length of the diagonal path, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (in this case, the diagonal path) is equal to the sum of the squares of the other two sides (the sides of the rectangle).

Let's call the length of the rectangle 40 yards and the width 80 yards. Then, using the Pythagorean theorem, we have:

diagonal path^2 = 40^2 + 80^2
diagonal path^2 = 1600 + 6400
diagonal path^2 = 8000

Now, we can take the square root of both sides to find the length of the diagonal path:

diagonal path = √8000
diagonal path ≈ 89.4 yards

Rounded to the nearest tenth, the diagonal path will be approximately 89.4 yards.