3. A parking lot is in the shape of a square and covers 1,000 square meters. Of the following, which is closest to the length, in meters, of one side of the parking lot?
Answer: B
The length of one side of the parking lot is closest to 30 meters.
To find the length of one side of a square parking lot that covers 1,000 square meters, we take the square root of the area. The square root of 1,000 is approximately 31.62, making 30 meters the closest option.
A) 10
Choosing 10 meters as the side length would result in an area of 100 square meters (10 x 10), which is significantly less than 1,000 square meters. Thus, this option is incorrect.
B) 30
Selecting 30 meters gives an area of 900 square meters (30 x 30), which is the closest value to the 1,000 square meters specified in the question. Therefore, this option is the correct answer.
C) 50
If we consider 50 meters as the side length, the area would be 2,500 square meters (50 x 50), which exceeds the given area of 1,000 square meters. Hence, this option is incorrect.
D) 100
A side length of 100 meters results in an area of 10,000 square meters (100 x 100), which is far greater than 1,000 square meters. Therefore, this option is also incorrect.
Conclusion
The correct answer is 30 meters, as it provides the nearest area of 900 square meters, which is the closest to the required 1,000 square meters. The other options either fall short of or greatly exceed the specified area, confirming their incorrectness.