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 = [tex](\text{Length+width})[/tex]
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 = [tex]\sqrt{\text{length}^{2}+\text{width}^{2}}[/tex]
= [tex]\sqrt{(50)^{2}+(120)^{2}}[/tex]
= [tex]\sqrt{2500+14400}[/tex]
= [tex]\sqrt{16900}[/tex]
= 130 yards
Now difference between the distance covered by Jacob and Ali
= 170 - 130
= 40 yards
Therefore, Jacob ran 40 yards more than Ali.
