The length of the diagonal can be found using the Pythagorean theorem: 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. Thus, c^2 = 40^2 + 80^2.
Using a calculator, 40^2 + 80^2 = 6400 + 6400 = 12800.
Therefore, c^2 = 12800, and taking the square root of both sides, c = sqrt(12800) = 112.92 yards.
Rounding to the nearest tenth, the length of the path will be approximately 112.9 yards.
A rectangular park that measures 40 yards by 80 yards will have a diagonal path built. How long will the path be? Round your answer to the nearest tenth.
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