SOLUTION: In a baseball league, the distance between bases is 25 feet greater than it is in a softball league. The bases of the baseball field mark the corners of a square that has an area 3

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: In a baseball league, the distance between bases is 25 feet greater than it is in a softball league. The bases of the baseball field mark the corners of a square that has an area 3      Log On


   



Question 1079729: In a baseball league, the distance between bases is 25 feet greater than it is in a softball league. The bases of the baseball field mark the corners of a square that has an area 3,625 square feet greater than for softball. Find the distance between the bases in the baseball league.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let d be the distance between bases on a softball field. Then:
(w+25)²-w²=3625
w²+50w+625-w²=3625
50w=3000
w=60
The bases on a softball field are 60 feet apart. Therefore, the bases in a baseball league are 85 feet apart. ☺☺☺☺