Five Rectangles, One Square: What's the Area?
I've got another brilliant problem from Catriona Agg to dissect (literally?) today. If a square is split into five rectangles as shown, and the rectangles have equal area (though are not necessarily congruent), what's the area?
Subscribe: https://bit.ly/polymathematic | Enable ALL push notifications 🔔
You can see Catriona's original problem on her Twitter: / 1281873084836970496 . As always, I love that it initially appears there can't possible be enough information, but as you start to chase some of the lengths, everything comes together.
What about you? I'm pretty happy with the method I came up with, but are there any shortcuts I missed?
#GeometryPuzzle #catrionaagg #areapuzzle
Watch more Math Videos:
Math Minis: • Math Mini
Math Minutes: • Math Minutes
Number Sense: • Number Sense (UIL / PSIA)
MATHCOUNTS: • MATHCOUNTS
Follow Tim Ricchuiti:
TikTok: / polymathematic
Mathstodon: https://mathstodon.xyz/@polymathematic
Instagram: / polymathematicnet
Reddit: / polymath-matic
Facebook: / polymathematic