Question

A soccer field measures 90 meters wide by 120 meters long starting together in one corner you walk the diagonal to the opposite corner while your friend walks the length and with to get the same corner how much further dose your friend walk

Answer 1

The friend walks 60 m further than the other person

Explanation:

Given the dimensions of the soccer field:

Width = 90 m

Length = 120 m

One person walks along its diagonal.

As the length and width of the field are perpendicular, Diagonal can be calculated using Pythagorean Theorem:

`Diagonal ^2 =Length^2+Width^2`

`Diagonal ^2 =90^2+120^2\\\Rightarrow Diagonal ^2 =8100+14400\\\Rightarrow Diagonal ^2 =22500\\\Rightarrow Diagonal =150\ m`

So, the distance walked by the person along the diagonal = 150 m

Distance walked by the person's friend to reach the opposite point = Width + Length = 120 + 90 = 210 m

So, the difference of the two distances will give us the distance that was walked further by the friend.

The difference is = 150 - 90 = 60 m

So, the friend walks 60 m further than the other person.