Question

A soccer field is 120 yards long and 60 yards wide.How long is the diagonal of the field?

Answer 1

Answer: $134.16\ yd$

Step-by-step explanation:

Based on the information provided in the exercise, we know that the soccer field has the shape of a rectangle.

By definition, the diagonal of  rectangle can be calculated with the Pythagorean Theorem:

$d^2=l^2+w^2\\\\d=\sqrt{l^2+w^2}$

In this case, the hypotenuse is the diagonal "d", "l" is the length and "w" is  the width.

We can identify that:

$l=120\ yd\\w=60\ yd$

Then, substituting values, we get:

$d=\sqrt{(120\ yd)^2+(60\ yd)^2}\\\\d=134.16\ yd$

Answer 2

Answer:

180 yards

Step-by-step explanation:

120 + 60 =180 so therefore you will travel 120 yards forward and 60 yards over so 180 yards total