In major league baseball, the distance between bases is 50 feet greater than it is in softball. The bases in major league baseball mark the corners of a square that has an area 3,600 square feet greater than for softball. Find the distance between the bases in baseball.
A) 50 ft
B) 11.00 ft
C) 36 ft
D) 61 ft

Question

Quizplus · Accepted Answer

Let x be the distance between bases in softball.
Then the distance between bases in baseball is x + 50.
The area of the square formed by the bases in softball is x^2.
The area of the square formed by the bases in baseball is (x+50)^2 = x^2 + 100x + 2500.
According to the problem, we have:
x^2 + 3600 = x^2 + 100x + 2500
Simplifying and solving for x, we get:
x = 61
Therefore, the distance between bases in baseball is x+50 = 111 feet, so the answer is D).

In Major League Baseball, the Distance Between Bases Is 50