benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 8391 / Given that a rectangle with length 3x inches and width x+5 inches has the…

Problem

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

question

Given that a rectangle with length 3x3x inches and width x+5x + 5 inches has the property that its area and perimeter have equal values, what is xx?
Plain-text mathematical notation (without MathML)
Given that a rectangle with length 3x inches and width x+5 inches has the property that its area and perimeter have equal values, what is x?
Original LaTeX notation
Given that a rectangle with length $3x$ inches and width $x + 5$ inches has the property that its area and perimeter have equal values, what is $x$?

category

math

options

  1. \frac{3}{10}
  2. \frac{5}{2}
  3. \frac{10}{3}
  4. 3
  5. \frac{3}{2}
  6. 1
  7. \frac{1}{2}
  8. 4
  9. 5
  10. 2

src

ori_mmlu-high_school_mathematics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
8391
task_id
dab37fbb-ab4e-510e-8237-8333e95f9f87
task_key
default--test--8391
task_revision_id
1
config / split
default / test

Official source

initial import