Question 40

The perimeter of the rectangular piece of land is 300 feet.

To find the perimeter of a rectangle, the formula is P = 2(length + width). For a rectangular piece of land measuring 100 feet by 50 feet, the perimeter calculates to 2(100 + 50) = 300 feet.

A) 200 feet

Option A is incorrect because it underestimates the perimeter. The calculation of the perimeter requires adding both dimensions and multiplying by 2, which results in a total of 300 feet, not 200 feet.

B) 5,000 feet

Option B is incorrect as it dramatically overstates the perimeter. The dimensions given do not support such a large measurement, and the correct calculation yields a maximum of 300 feet instead.

C) 300 feet

Option C is correct. As calculated, the perimeter of the rectangle, which consists of two lengths and two widths, totals 300 feet when applying the formula correctly.

D) 150 feet

Option D is incorrect because it represents a miscalculation of the perimeter. To arrive at this figure, one might mistakenly add only one length and one width, which does not reflect the complete perimeter of the rectangle.

Conclusion

The correct answer, 300 feet, is derived from the proper application of the perimeter formula for rectangles. All other options fail to accurately represent the perimeter based on the given dimensions, either by underestimating or overestimating the total distance around the land.