Difference between revisions of "2021 AIME I Problems/Problem 2"

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==Problem==
 
==Problem==
These problems will not be available until the 2021 AIME I is released on Wednesday, March 10, 2021.
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In the diagram below, <math>ABCD</math> is a rectangle with side lengths <math>AB=3</math> and <math>BC=11</math>, and <math>AECF</math> is a rectangle with side lengths <math>AF=7</math> and <math>FC=9,</math> as shown. The area of the shaded region common to the interiors of both rectangles is <math>\frac mn</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m+n</math>.
  
 
==Solution==
 
==Solution==

Revision as of 16:46, 11 March 2021

Problem

In the diagram below, $ABCD$ is a rectangle with side lengths $AB=3$ and $BC=11$, and $AECF$ is a rectangle with side lengths $AF=7$ and $FC=9,$ as shown. The area of the shaded region common to the interiors of both rectangles is $\frac mn$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.

Solution

See also

2021 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions

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