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

Answer:

Jacob ran 40 yards more than Ali.

Step-by-step 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 = $\sqrt{\text{length}^{2}+\text{width}^{2}}$

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

= $\sqrt{2500+14400}$

= $\sqrt{16900}$

= 130 yards

Now difference between the distance covered by Jacob and Ali

= 170 - 130

= 40 yards

Therefore, Jacob ran 40 yards more than Ali.