The area of a little league diamond is 3600 square feet. The infield for a regulation sized baseball diamond is 8100 square feet. How much farther is it from first base to second base on the regualtion sized field than of little league field?
for softball, since the area is 3600 ft^2, each side is 60 ft
for baseball, each side is 90 ft
so, do the math
the diamonds are actually squares with a base at each corner
√(3600 ft^2) = ?
√(8100 ft^2) = ?
To find out how much farther it is from first base to second base on the regulation-sized field than on the little league field, we need to calculate the distance between the bases for both fields.
Let's start with the little league field:
1. The area of the little league field is given as 3600 square feet.
2. A little league diamond is a square, so all sides are equal.
3. To find the length of one side, we take the square root of the area:
Side length = √(3600) = 60 feet.
On the regulation-sized field:
1. The area of the infield is given as 8100 square feet.
2. The infield of a regulation-sized baseball diamond is a square as well.
3. To find the length of one side, we take the square root of the area:
Side length = √(8100) = 90 feet.
Now, to find the difference in distance between first base and second base:
On the little league field, the distance between bases is equal to the side length of the square. So, on the little league field, the distance from first base to second base is 60 feet.
On the regulation-sized field, the distance between bases is also equal to the side length of the square. Therefore, on the regulation-sized field, the distance from first base to second base is 90 feet.
To find the difference, we subtract the little league distance from the regulation-sized distance:
90 feet - 60 feet = 30 feet.
Therefore, it is 30 feet farther from first base to second base on the regulation-sized field compared to the little league field.