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?

Rationale

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, we take the square root of the area. The area of the parking lot is 1,000 square meters, and the square root of 1,000 is approximately 31.62, which rounds to about 30 meters.

A (10) YOUR ANSWER

A side length of 10 meters would give an area of only 100 square meters (10 x 10), which is significantly less than the stated area of 1,000 square meters. Thus, this option is too small to be correct.

B (30) CORRECT

A side length of 30 meters results in an area of 900 square meters (30 x 30), which is the closest area to 1,000 square meters when compared to other options. Therefore, this is the correct choice.

C (50) YOUR ANSWER

If one side were 50 meters, the area would be 2,500 square meters (50 x 50), which greatly exceeds the area given in the question. Hence, this option is incorrect.

D (100) YOUR ANSWER

A side length of 100 meters would result in an area of 10,000 square meters (100 x 100), far larger than the parking lot's area of 1,000 square meters. This option is also incorrect.

Conclusion

To determine the side length of a square parking lot with an area of 1,000 square meters, we calculate the square root, which is approximately 31.62 meters. Rounding this value leads us to the closest option of 30 meters. Other choices either underestimate or overestimate the actual area significantly, confirming that the length of one side is closest to 30 meters.

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?

The length of one side of the parking lot is closest to 30 meters.

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