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?

Rationale

Jennifer's new office has a floor area that is 62 square feet greater than her old office.

To calculate the difference in floor area between Jennifer's old and new office, we first determine the area of her old office by multiplying its width (10 feet) by its length (15 feet), resulting in 150 square feet. Subtracting this from the new office's area (212 square feet) yields a difference of 62 square feet.

A (60 sq ft) YOUR ANSWER

This choice incorrectly suggests that the difference in floor area is 60 square feet. The calculation of the difference, which is 212 square feet minus 150 square feet, results in 62 square feet, not 60. Therefore, this option is not accurate.

B (62 sq ft) CORRECT

This is the correct answer. After calculating the area of the old office (150 sq ft) and subtracting it from the new office area (212 sq ft), we find that the difference is indeed 62 square feet. This accurately reflects how much greater the new office's floor area is compared to the old one.

C (65 sq ft) YOUR ANSWER

This option suggests a difference of 65 square feet, which is inaccurate. The calculation shows that the difference between the areas is 62 square feet, making this option incorrect and not reflective of the actual floor area difference.

D (68 sq ft) YOUR ANSWER

Choosing 68 square feet indicates a misunderstanding of the area difference. The calculated difference between the new office area (212 sq ft) and the old office area (150 sq ft) is 62 square feet, thus making this option incorrect as well.

Conclusion

The analysis reveals that Jennifer's new office has a floor area 62 square feet larger than her old office. By calculating the areas accurately, we confirm that the increase in space is correctly represented by option B. Choices A, C, and D do not align with the calculated difference and therefore do not represent the correct answer.

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?

Jennifer's new office has a floor area that is 62 square feet greater than her old office.

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