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a park is in the shape of a rectangle 8 miles long and 6 miles wide how much shorter is your walk if you walk diagonally across the park than along two sides of it

Sagot :

luana
[tex]This\ rectangle\ consist\ of\ two\ right\ triangles:\\sides:6,8,c\\\\\2c^2=6^2+8^2\\c^2=36+64\\c^2=100\\c=10\\\\6+8=14\\\\14-10=4\\\\Road\ across\ the\ park\ is\ 4\ miles\ shorter.[/tex]
aksnkj

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

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