A rectangular garden has sides of 20 feet and 15 feet. Find the length of a path that
extends from one corner to the opposite corner.

Respuesta :

Answer:

25 feet

Step-by-step explanation:

Rectangle has a length (given as 20 feet) and a width (given as 15 feet).

Also, the diagonal is the length of the side from one corner to opposite corner. THis is what we need to find. According to Pythagorean THeorem:

Length^2 + Width^2 = Diagonal^2

We know:

Length = 20

Width = 15

Now, we find the diagonal:

[tex]20^2+15^2=Diagonal^2\\625=Diagonal^2\\Diagonal=\sqrt{625}\\Diagonal=25[/tex]

Hence, the diagonal (length of path that extends from one corner to the opposite corner) has a length of 25 feet.