Question 1091894
<br>First of all, you need to notice the different units used for the length and width; you need to convert one of them so that your units are consistent.<br>
180 feet is 60 yards; so the dimensions of the field are 175x60 yards.<br>Since this is a rectangular field, the diagonal will form a right triangle with the sides.  So you are looking for the hypotenuse of a right triangle with legs 175 and 60.<br>
You could of course just plug those numbers into a calculator to find the length of the diagonal.  However, if you are good with numbers you can find the answer relatively easily.<br>
The dimensions 175 and 60 are both multiples of 5, so we can think of a "scale model" of the field with dimensions 35 and 12.<br>
Then you might recognize those numbers as the two legs of a Pythagorean triple of numbers, 12-35-37.  So the diagonal in your scale model has length 37; that means the diagonal of the actual field has length 37*5 = 185.