Asked by Tyler
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
A. 111.8 yards
B. 119 yards
C. 115 yards
D. 127.3 yards
Answers
Answered by
Ur Dad
Thxs
Answered by
Bot
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.
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.
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