49. A lot that measures 60 feet x 130 feet contains how many acres?
Answer: A
The lot that measures 60 feet x 130 feet contains 0.179 acres.
To determine the number of acres in a lot measuring 60 feet by 130 feet, we first calculate the area in square feet, which is 60 x 130 = 7,800 square feet. Since one acre is equal to 43,560 square feet, we then divide 7,800 by 43,560 to find the area in acres, resulting in approximately 0.179 acres.
A) 0.179 acres
This option is correct as it accurately represents the calculated area of the lot in acres. By converting the total square footage (7,800) into acres, we confirm that 0.179 acres is the proper measurement for the stated dimensions.
B) 0.250 acres
This option is incorrect. While it is a common area measurement, it does not reflect the calculated area of the lot. If the area were 0.250 acres, it would imply a total of 10,890 square feet, which is greater than the actual area of 7,800 square feet.
C) 0.500 acres
This option is also incorrect. An area of 0.500 acres would equal 21,780 square feet, which exceeds the area of the lot significantly. Therefore, this option does not align with the dimensions provided.
D) 1.000 acre
This option is incorrect as it represents a full acre, equating to 43,560 square feet, which is much larger than the area of the lot. Given the actual area of 7,800 square feet, this option is not viable.
Conclusion
In summary, the correct answer is 0.179 acres because it directly corresponds to the calculated area of the lot based on its dimensions. The other options fail to accurately represent the area, either being too large or miscalculating the conversion from square feet to acres.