1. Jennifer moved from her rectangular office, which was 10 feet wide and 15 feet long, into an office with a floor area of 212 square feet. How much greater is the floor area in Jennifer's new office than in her old office?
Answer: B
Jennifer's new office floor area is 62 square feet greater than her old office.
To determine how much greater the floor area in Jennifer's new office is compared to her old office, we first calculate the area of her old office, which is 10 feet wide and 15 feet long, resulting in an area of 150 square feet. Subtracting this from the new office's area of 212 square feet reveals that the new office is 62 square feet larger.
A) 60 sq ft
This option is incorrect because, when calculating the difference in floor area, the result is 62 square feet, not 60. The math does not support this choice, as 212 minus 150 equals 62.
B) 62 sq ft
This option is correct as it accurately reflects the difference in floor area between Jennifer's new office and her old office. The calculation shows that her new office, which is 212 square feet, is indeed 62 square feet larger than her previous office of 150 square feet.
C) 65 sq ft
This option is incorrect because the difference in floor area is not 65 square feet. The calculation yields a difference of 62 square feet, making this option inconsistent with the actual figures.
D) 68 sq ft
This option is also incorrect. The proper calculation shows a difference of 62 square feet, and thus, 68 square feet does not represent the correct increase in floor area.
Conclusion
The correct answer is 62 square feet, which accurately represents the increase in area when moving from her old office to her new office. All other options fail to reflect the correct calculation based on the dimensions provided, demonstrating that careful analysis of the numbers is essential for arriving at the right conclusion.