On some days, Jardon travels from home directly to his work. On other days, Jardon visits with his friend on his way
to work.

Approximately how much farther would Jardon travel by
walking from his home to his friend's house and then from
his friend's house to work than he would travel by walking
from his home directly to work?

Using the Pythagorean Theorem, it is found that he would travel 92 miles farther by  walking from his home to his friend's house and then from  his friend's house to work than he would travel by walking  from his home directly to work.

The Pythagorean Theorem states that, on a right triangle, the length of the hypotenuse squared is the sum of the length of each leg squared, that is:

Walking from his home to his friend's house and then from  his friend's house to work, Jardon travels 240 + 120 = 360 yards.

Directly from his home to work, the distance is the hypotenuse of a right triangle with legs , hence:

360 - 268 = 92

He would travel 92 miles farther by  walking from his home to his friend's house and then from  his friend's house to work than he would travel by walking  from his home directly to work.

You can learn more about the Pythagorean Theorem at link

is this part of a question or something