Answer and Step-by-step explanation:
To find the answer, we need to first think of what length in the rectangle can make the longest path, then use the Pythagorean Theorem.
The diagonal in a rectangle (going from one corner to another) is the longest distance.
If we were to split that rectangle by its diagonal, we would get a triangle. By the Pythagorean Theorem, we can find the length of that diagonal (the hypotenuse of the triangle).
[tex]A^2 + B^2 = C^2\\\\110^2+80^2 = C^2\\\\12100 + 6400 = C^2\\\\18500 = C^2\\\\10\sqrt{185} = C = 136.0147 yards[/tex] <- This is the answer (the decimal version or this ^ version).
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