Question

Solve. a soccer field is 120 yards long and 80 yards wide. what is the length of the diagonal of the field?

Answer 1

Using the Pythagorean theorem, the diagonal would be the hypotenuse of a triangle.

a^2 + b^2 = c^2

120^2 + 80^2 = c^2

14400 + 6400 = c^2

20,800 = c^2

c = SQRT(20800)

c = 40 sqrt(13) , This is the exact answer.

c = 144.22 yards, This is if you need it in yards ( May need to round off how the teacher wants it)

You do not say how the answer is to be written, so I have given you two ways.