Question

Jacob and Ali want to run from one corner of a football field to the opposite corner. The rectangular football field is 50 yards wide and 120 yards long. Jacob runs around the perimeter of the field, while Ali runs in a straight line through the middle of the field. How many more yards does Jacob run than Ali?

Answer 1

Jacob ran 40 yards more than Ali.

Explanation:

Football field is in the shape of a rectangle having dimensions 120 yards × 50 yards

Since Jacob runs around the perimeter of the field from one corner to other corner, therefore, distance run by Jacob =
`(\text{Length+width})`

Distance run by Jacob = 50 + 120 = 170 yards

Ali runs through the middle of the field diagonally on a straight line.

Therefore, distance covered by Ali =
`\sqrt{\text{length}^(2)+\text{width}^(2)}`

=
`\sqrt{(50)^(2)+(120)^(2)}`

=
`√(2500+14400)`

=
`√(16900)`

= 130 yards

Now difference between the distance covered by Jacob and Ali

= 170 - 130

= 40 yards

Therefore, Jacob ran 40 yards more than Ali.