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 (the diagonal in this case) is equal to the sum of the squares of the lengths of the other two sides.
Let's call the length 31 yards as the base (b) and the length 67 yards as the height (h).
Using the Pythagorean theorem, we have:
diagonal^2 = base^2 + height^2
diagonal^2 = 31^2 + 67^2
diagonal^2 = 961 + 4489
diagonal^2 = 5450
diagonal ≈ √5450
diagonal ≈ 73.8 yards
Therefore, the length of the diagonal path will be approximately 73.8 yards when rounded to the nearest tenth.
A rectangular park that measures 31 yards by 67 yards will have a diagonal path built. How long will the path be? Round your answer to the nearest tenth. the length of the diagonal is?
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