In major league baseball, the distance between bases is 30 feet greater than it is in softball. The bases in major league baseball mark the corners of a square that has an area 4,500 square feet greater than for softball. Find the distance between the bases in baseball.
A) 30 ft
B) 60 ft
C) 45 ft
D) 90 ft

Question

Quizplus · Accepted Answer

Let x be the distance between bases in softball. Then, the distance between bases in baseball is x+30.

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+30)^2.

We know that the area of the baseball square is 4,500 square feet greater than the area of the softball square:

(x+30)^2 = x^2 + 4,500

Expanding the left side, we get:

x^2 + 60x + 900 = x^2 + 4,500

Simplifying, we get:

60x = 3,600

x = 60

Therefore, the distance between bases in baseball is x+30 = 90 feet. Therefore, the answer is D) 90 ft.

In Major League Baseball, the Distance Between Bases Is 30