How large is a lot that is 145.2 feet wide by 150 feet long?

Rationale

A lot that is 145.2 feet wide by 150 feet long has an area of 0.5 acre.

To find the area of a rectangular lot, we multiply its width by its length. The area of the lot is calculated as 145.2 feet × 150 feet, which equals 21,780 square feet. Since 1 acre is equivalent to 43,560 square feet, dividing 21,780 square feet by 43,560 square feet per acre gives us approximately 0.5 acres.

A (7,260 square feet) YOUR ANSWER

This choice incorrectly represents the area calculation. The correct area is derived from multiplying the width and length of the lot, resulting in 21,780 square feet, which is significantly larger than 7,260 square feet. This miscalculation fails to consider both dimensions of the lot.

B (0.5 acre) CORRECT

This is the correct answer. The area of 21,780 square feet converts to 0.5 acres when divided by the number of square feet in an acre. This demonstrates the proper understanding of how to convert square feet into acres.

C (0.75 acre) YOUR ANSWER

This choice overestimates the area of the lot. To arrive at 0.75 acres, the area would need to be approximately 32,670 square feet. Since the actual area is only 21,780 square feet, this option does not reflect the correct conversion from square feet to acres.

D (1.0 acre) YOUR ANSWER

This choice greatly overstates the area of the lot as well. A full acre consists of 43,560 square feet, and since 21,780 square feet is less than half an acre, this choice misrepresents the size of the lot.

Conclusion

The area of a rectangular lot measuring 145.2 feet wide by 150 feet long is accurately calculated as 21,780 square feet, which equals 0.5 acres. Understanding the conversion between square feet and acres is crucial for accurately determining land size, highlighting that the only valid choice representing this area is 0.5 acre. All other options fail to reflect the correct area, illustrating common miscalculations in area conversion.

How large is a lot that is 145.2 feet wide by 150 feet long?

A lot that is 145.2 feet wide by 150 feet long has an area of 0.5 acre.

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