Alright, lets get started.
Please refer the diagram I have attached. (The diogonal path is shown with orange color)
There is a rectangular lawn having the dimensions 61 feet and 48 feet.
When the path extends diagonally between two opposite corners of the lawn, it makes the diagonal of the rectangle.
For finding the diagonal, we could use Pythagorean theorem.
[tex] c^2 = a^2 + b^2 [/tex]
[tex] c^2 = 61^2 + 48^2 [/tex]
[tex] c^2 = 3721+ 2304 [/tex]
[tex] c^2 = 6025 [/tex]
Taking square root on both sides
[tex] c = 77.6 [/tex]
Hence the length of the path is 77.6 feet. : Answer
Hope it will help :)
