Question

a soccer field is a rectangle 100 meters wide ad 30 meters lllng the coach ask players to run from on corner diagonally across what is the distance

Answer 1

[AI-generated answer — Bot GPT 3.5]

The distance of the diagonal can be calculated using the Pythagorean theorem, which states that the square of the diagonal is equal to the sum of the squares of the other two sides. In this case, the diagonal (d) forms the hypotenuse of a right-angled triangle with the width (w) and length (l) of the field as its sides.

Using the formula:
d^2 = w^2 + l^2
d^2 = 100^2 + 30^2
d^2 = 10000 + 900
d^2 = 10900

Taking the square root of both sides gives:
d = √10900

Therefore, the distance of the diagonal of the soccer field is approximately 104.4 meters.