Question 17

The perimeter of the rectangular lot is 180 ft.

To calculate the perimeter of a rectangle, the formula is P = 2(length + width). Given the dimensions of the lot are 40 ft and 50 ft, the perimeter is 2(40 ft + 50 ft) = 2(90 ft) = 180 ft.

A) 200 ft.

This option is incorrect because it does not follow the perimeter formula. The calculation of 200 ft could result from incorrectly adding the lengths without multiplying by two, as the correct sum of the lengths is 90 ft, which leads to a perimeter of 180 ft.

B) 180 ft.

This is the correct answer. By applying the perimeter formula for a rectangle, we find that the perimeter is indeed 180 ft when using the provided dimensions of 40 ft and 50 ft.

C) 90 ft.

This option is incorrect as it represents the sum of the length and width without considering that the perimeter calculation requires doubling this sum. The correct perimeter, as calculated, is 180 ft.

D) 150 ft.

This choice is also incorrect. It may stem from an erroneous calculation or misinterpretation of the dimensions, as the proper calculation yields a perimeter of 180 ft, not 150 ft.

Conclusion

The correct perimeter of the rectangular lot is 180 ft, as established through the proper application of the perimeter formula. All other options fail to adhere to this calculation, either by miscalculating or misunderstanding the dimensions of the rectangle. Thus, option B is definitively the right answer.