A rectangular piece of land measures 100' x 50'. What is the perimeter of the land?

Rationale

The perimeter of the land is 300 feet.

To calculate the perimeter of a rectangle, the formula used is \( P = 2 \times (length + width) \). For this piece of land measuring 100 feet by 50 feet, the calculation yields a perimeter of \( 2 \times (100 + 50) = 2 \times 150 = 300 \) feet.

A (200 feet) YOUR ANSWER

This choice represents an incorrect calculation. It may arise from mistakenly adding the length and width without multiplying by two, resulting in \( 100 + 50 = 150 \) feet instead of completing the perimeter calculation.

B (5,000 feet) YOUR ANSWER

This value is significantly larger than the actual perimeter. It likely stems from a misunderstanding of the dimensions or a miscalculation involving the area or another unrelated measure, as it does not pertain to the perimeter of the rectangle.

C (300 feet) CORRECT

This is the correct answer, as it accurately reflects the perimeter calculation based on the dimensions provided. The formula \( P = 2 \times (100 + 50) \) leads to a total of 300 feet, confirming the correctness of this choice.

D (150 feet) YOUR ANSWER

This option may confuse the sum of the length and width with the perimeter. While \( 100 + 50 = 150 \) feet represents the total distance of one length and one width, it fails to account for both pairs of sides required to determine the complete perimeter.

Conclusion

The perimeter of a rectangle is calculated by adding together the lengths of all sides, which necessitates doubling the sum of the length and width. For the given dimensions of 100 feet and 50 feet, the accurate perimeter is 300 feet, demonstrating how critical it is to apply the appropriate formula in geometric calculations. The incorrect choices either misinterpret the formula or misapply the dimensions, leading to erroneous results.

A rectangular piece of land measures 100' x 50'. What is the perimeter of the land?

The perimeter of the land is 300 feet.

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