The walk is 4 miles shorter if you walk diagonally across the park than along two sides of it.
Given information:
A park is in the shape of a rectangle 8 miles long and 6 miles wide.
If you walk along the two sides of the rectangular park, then the distance covered will be,
[tex]8+6=14\rm\;miles[/tex]
Now, the length of diagonal of the park will be,
[tex]d^2=8^2+6^2\\d^2=64+36\\d^2=100\\d=10[/tex]
So, the distance covered while moving along the diagonal will be 10 miles.
Now, the difference of distance covered in the two ways will be,
[tex]14-10=4\rm\;miles[/tex]
Therefore, the walk is 4 miles shorter if you walk diagonally across the park than along two sides of it.
For more details, refer to the link:
https://brainly.com/question/10046743
