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

1 answer

To find the length of the diagonal path, we can use the Pythagorean theorem.

The formula is:

c^2 = a^2 + b^2

Where c is the length of the diagonal, and a and b are the lengths of the sides of the rectangle.

In this case, a = 40 yards and b = 80 yards.

So, c^2 = (40^2) + (80^2) = 1600 + 6400 = 8000

Taking the square root of both sides, we find:

c ≈ √8000 ≈ 89.4

Therefore, the length of the diagonal path will be approximately 89.4 yards.