What is the perimeter of a rectangular lot with the dimensions of 40 ft. x 50 ft.?

Rationale

The perimeter of a rectangular lot with dimensions of 40 ft. x 50 ft. is 180 ft.

To calculate the perimeter of a rectangle, you add together the lengths of all four sides. The formula for the perimeter (P) is P = 2(length + width). For this lot, the perimeter is 2(40 ft + 50 ft) = 2(90 ft) = 180 ft.

A (200 ft.) YOUR ANSWER

This choice incorrectly suggests that the perimeter is 200 ft. This result may stem from a misunderstanding of the perimeter formula, as it does not accurately reflect the addition of the length and width. The calculation should be 2(40 ft + 50 ft) and not simply adding both dimensions.

B (180 ft.) CORRECT

This choice correctly calculates the perimeter using the formula for a rectangle: P = 2(length + width). By substituting the given dimensions, P = 2(40 ft + 50 ft) = 2(90 ft) = 180 ft, confirming that this is indeed the correct answer.

C (90 ft.) YOUR ANSWER

This choice mistakenly represents the total of the length and width without considering the fact that the perimeter involves doubling that sum. While 90 ft is the sum of the dimensions (40 ft + 50 ft), it does not account for the full perimeter calculation.

D (150 ft.) YOUR ANSWER

This choice suggests a perimeter of 150 ft, which could arise from an incorrect application of the perimeter formula or a miscalculation of the dimensions. The correct perimeter, as derived from the formula, clearly shows that the answer is not 150 ft.

Conclusion

The correct perimeter of the rectangular lot with dimensions of 40 ft. x 50 ft. is 180 ft, derived from the perimeter formula applicable to rectangles. Incorrect choices stem from miscalculations or misunderstandings of how to apply the formula correctly. Understanding this principle is essential for accurate geometric calculations in real-world applications.

What is the perimeter of a rectangular lot with the dimensions of 40 ft. x 50 ft.?

The perimeter of a rectangular lot with dimensions of 40 ft. x 50 ft. is 180 ft.

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