26. How large is a lot that is 145.2 feet wide by 150 feet long?
Answer: B
The lot size is 0.5 acre.
The area of a lot measuring 145.2 feet wide by 150 feet long is calculated by multiplying the two dimensions, resulting in 21,780 square feet. When converted to acres, this equates to 0.5 acre.
A) 7,260 square feet
This option is incorrect because it represents a much smaller area than what is calculated for the lot. The correct area calculation yields 21,780 square feet, significantly exceeding 7,260 square feet.
B) 0.5 acre
This option is correct as it accurately reflects the conversion of the area from square feet to acres. Since there are 43,560 square feet in an acre, dividing 21,780 square feet by 43,560 confirms that the lot is indeed 0.5 acre.
C) 0.75 acre
This option is incorrect because 0.75 acre would equate to approximately 32,670 square feet. The calculated area of 21,780 square feet does not reach this value, making this option invalid.
D) 1.0 acre
This option is also incorrect as 1.0 acre equals 43,560 square feet. The actual area of 21,780 square feet is less than this, confirming that this option cannot be correct.
Conclusion
The correct answer of 0.5 acre is definitively right based on the accurate area calculation of the lot, which converts to 21,780 square feet. All other options fail to match the calculated area, either being too small or too large, thereby confirming that B is the only valid choice.