Answer:
100
2
+
50
2
=
12500
; 
√
12500
=
111.80
 yards
Explanation:
A football field is a rectangle, so a diagonal line creates 2 right triangles. The formula for the length of the sides of a right triangle is 
a
2
+
b
2
=
c
2
 For this problem, we know 
a
 and 
b
, so we just have to find 
c
.
100
2
+
50
2
=
c
2
=
12500
The length of the diagonal is 
√
12500
, which is 111.80 yards.