Question

A rectangle or park is 8 miles long is 6 miles wide. A jogging path devise the park diagonally in half. Find the length of the jogging path.

Answer 1

10

Explanation:

1got a 100

Answer 2

A rectangle has 90 degree angles. When a line cuts it diagonally, it makes a right angle. (I drew the picture on a rocking chair so...)

When there is a right angle we think about the Pythogarean theorem.

`{a}^(2) + {b}^(2) = {c}^(2)`
Plug the values:

`{8}^(2) + {6}^(2) = {x}^(2)`
Simplify:

`64 + 36 = {x}^(2)`
Combine like terms:

`100 = {x}^(2)`
Take the square root of both sides:

`10 = x`
The length of the path is 10 miles.