a rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk.
A. 111.8 yards
B. 119 yards
C. 115 yards
D. 127.3 yards
The distance that Patrick walks is the hypotenuse of the right-angled triangle formed by the length, width, and his diagonal walk. We can use the Pythagorean theorem to find the answer.
a² + b² = c², where a = width = 50 yards, b = length = 100 yards, and c = distance walked by Patrick (hypotenuse).
Substituting the values:
50² + 100² = c²
2500 + 10000 = c²
12500 = c²
c = √12500
c = 111.8 yards
Therefore, the answer is A. 111.8 yards.