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Chapter 9: Problem 75

A baseball diamond measures 27 meters along each side. If a batter scored two home runs in a game, how many kilometers did the batter run?

Short Answer

Expert verified
The batter ran 0.216 kilometers.

Step by step solution

01

Calculation of Perimeter

Firstly, calculate the perimeter of the baseball diamond. Since it is a square, this can be done by multiplying the length of one side by 4. In this case, the length of one side is 27 meters. Hence, the perimeter is \(4 \times 27 = 108\) meters.
02

Multiplication by the Number of Home Runs

Next, as the batter scored two home runs, multiply the perimeter by 2. Therefore, the total distance run by the batter in meters is \(2 \times 108 = 216\) meters.
03

Conversion to Kilometers

Finally, to convert the total distance run by the batter into kilometers, divide the result obtained in meters by 1000 since there are 1000 meters in a kilometer. Thus, the total distance run in kilometers is \( \frac{216}{1000} = 0.216\) kilometers.

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