Answer:
The total distance the mouse scurries:
3+2+3.6= 8.6 meters.
Step-by-step explanation:
We know that the mouse scurries 3 meters along the length of the kitchen to reach a piece of cheese in the southwest corner. Then the mouse scurries 2 meters along the width of the kitchen to its other hole in the southeast corner.
We calculate diagonal of the kitchen:
[tex]d^2=3^2+2^2\\d^2=9+4\\d=\sqrt{13}\\d=3.6\, m[/tex]
The total distance the mouse scurries:
3+2+3.6= 8.6 meters.
