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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_13 / The diagram below shows a rectangle with side lengths 4 and 8 and a square with side length 5. Three vertices of the square lie on three different sides of the rectangle, as shown.…

Problem

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problem

The diagram below shows a rectangle with side lengths

4

and

8

and a square with side length

5

. Three vertices of the square lie on three different sides of the rectangle, as shown. What is the numerator of the simplest fraction that represents the area of the region inside both the square and the rectangle?

Plain-text mathematical notation (without MathML)

The diagram below shows a rectangle with side lengths 4 and 8 and a square with side length 5. Three vertices of the square lie on three different sides of the rectangle, as shown. What is the numerator of the simplest fraction that represents the area of the region inside both the square and the rectangle?

Original LaTeX notation

The diagram below shows a rectangle with side lengths $4$ and $8$ and a square with side length $5$. Three vertices of the square lie on three different sides of the rectangle, as shown. What is the numerator of the simplest fraction that represents the area of the region inside both the square and the rectangle?

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_13
task_id: 16020073-cb78-5cdc-92cb-a909a168c30d
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2022~5fAMC~5f12B~5fProblems~2fProblem~5f13
task_revision_id: 2
config / split: default / train

Official source

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