Difference between revisions of "2021 AIME I Problems/Problem 2"
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==Problem== | ==Problem== | ||
| − | + | 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 15:46, 11 March 2021
Problem
In the diagram below, 
is a rectangle with side lengths 
and 
, and 
is a rectangle with side lengths 
and 
as shown. The area of the shaded region common to the interiors of both rectangles is 
, where 
and 
are relatively prime positive integers. Find 
.
Solution
See also
| 2021 AIME I (Problems • Answer Key • Resources) | ||
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
