Question

a rectangular park is 4 miles long and 2 miles wide. how long is pedestrian route that runs diagonally across the park

Answer 1

you can use the Pythagorean theorem to solve this

`{x}^(2) = {4}^(2) + {2}^(2)`
Now solve for x

`{x}^(2) = 16 + 4 \\ {x}^(2) = 20 \\ x = √(20)`
Now you can simplify this to

`x = √(5 * 4) \\ x = √(5) √(4) \\ x = √(5 ) * 2 \\ x = 2 √(5)`
And that's your answer