Answer:
![134.16\ yd](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rd1hp03ubhrr8q5i95qwg1fngyvtptn6yn.png)
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=√(l^2+w^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3om9141otffs7dnhrzqpovf07y7d9bcb7y.png)
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](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xgqfhyoe2jfzex02cme7hktukicpv63lzl.png)
Then, substituting values, we get:
![d=√((120\ yd)^2+(60\ yd)^2)\\\\d=134.16\ yd](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o8feowwi2lhsj34sxi98g6yutw4h5qenki.png)