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MMLU-Pro / 7988 / The length and width of a rectangle are measured as 30 mathrm{~cm} and …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The length and width of a rectangle are measured as $30 \mathrm{~cm}$ and $24 \mathrm{~cm}$, respectively, with an error in measurement of at most $0.1 \mathrm{~cm}$ in each. Use differentials to estimate the maximum error in the calculated area of the rectangle.
Plain-text mathematical notation (without MathML)
The length and width of a rectangle are measured as $30 \mathrm{~cm}$ and $24 \mathrm{~cm}$, respectively, with an error in measurement of at most $0.1 \mathrm{~cm}$ in each. Use differentials to estimate the maximum error in the calculated area of the rectangle.
Original LaTeX notation
The length and width of a rectangle are measured as $30 \mathrm{~cm}$ and $24 \mathrm{~cm}$, respectively, with an error in measurement of at most $0.1 \mathrm{~cm}$ in each. Use differentials to estimate the maximum error in the calculated area of the rectangle.

category

math

options

  1. 9.0 $\mathrm{cm^2}$
  2. 5.4 $\mathrm{cm^2}$
  3. 12.0 $\mathrm{cm^2}$
  4. 2.4 $\mathrm{cm^2}$
  5. 8.1 $\mathrm{cm^2}$
  6. 10.2 $\mathrm{cm^2}$
  7. 6.2 $\mathrm{cm^2}$
  8. 3.0 $\mathrm{cm^2}$
  9. 4.8 $\mathrm{cm^2}$
  10. 7.5 $\mathrm{cm^2}$

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
7988
task_id
ab66aa91-f08b-5aba-aeba-74ed2b1741f9
task_key
default--test--7988
task_revision_id
1
config / split
default / test

Official source

initial import