Given:
There are given that a rectangular yard.
Explanation:
To find the distance that one holes to other:
We need to use the Pythagoras theorem.
So,
From the Pythagoras theorem:
[tex]c^2=a^2+b^2[/tex]Where,
[tex]\begin{gathered} a=12 \\ b=16 \end{gathered}[/tex]Then,
Put both values into the above formula
So,
[tex]\begin{gathered} c^2=a^2+b^2 \\ c^2=12^2+16^2 \\ c^2=144+256 \\ c^2=400 \\ c=\sqrt[]{400} \\ c=20 \end{gathered}[/tex]Final answer:
Hence, 20 meters that will the gopher have to run get from one of its holes to the other.
There are given that a rectanglua