Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2000 PMWC Problems/Problem T3

Revision as of 21:30, 21 April 2014 by TheMaskedMagician (talk | contribs) (Created page with "==Problem== In the figure, <math>ABCD</math> is a square, <math>P</math>, <math>Q</math>, <math>R</math>, and <math>S</math> are midpoints of the sides <math>AB</math>, <math>BC<...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

In the figure, $ABCD$ is a square, $P$, $Q$, $R$, and $S$ are midpoints of the sides $AB$, $BC$, $CD$ and $DA$ respectively. Find the ratio of the shaded area to the area of the square $ABCD$.

Solution

See Also

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2000_PMWC_Problems/Problem_T3&oldid=61700"