A lot measures 50 ft × 130 ft. How many acres does it contain?

Rationale

0.149 acres

To convert the area of a lot measuring 50 ft × 130 ft into acres, we first calculate the total area in square feet, which is 6,500 sq ft. Since one acre is equivalent to 43,560 sq ft, dividing 6,500 by 43,560 gives approximately 0.149 acres.

A (0.149 acres) CORRECT

This choice correctly represents the area of the lot when converted from square feet to acres, as detailed in the calculation above, validating its accuracy.

B (0.250 acres) YOUR ANSWER

This option suggests a larger area than the actual calculation. To reach 0.250 acres, the lot would need to measure around 10,890 sq ft. Since 50 ft × 130 ft equals only 6,500 sq ft, this choice is incorrect.

C (0.500 acres) YOUR ANSWER

This choice indicates an area of 21,780 sq ft, which is significantly greater than the actual area of 6,500 sq ft. The lot does not cover enough square footage to equate to half an acre, making this option incorrect.

D (1.000 acre) YOUR ANSWER

This choice reflects an area of 43,560 sq ft, which far exceeds the lot's actual area of 6,500 sq ft. Thus, it is not a feasible representation of the lot’s size and is therefore incorrect.

Conclusion

The area of the lot measuring 50 ft by 130 ft is accurately calculated as 0.149 acres. Each incorrect option overstates the area, highlighting the importance of understanding area conversions between square feet and acres. This calculation is crucial for applications in land assessment and property management.

A lot measures 50 ft × 130 ft. How many acres does it contain?

0.149 acres

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