Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.
Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Plug the numbers in to find c, the length of your path! So
[tex] \sqrt{{32}^{2} + {20}^{2}} = 37.7[/tex]
