Engaging Math Puzzle: Count the Colorful Rectangles!

Chapter 1: Introduction to the Puzzle

Counting shapes can be straightforward; however, it requires a careful and systematic approach!

This puzzle features a design made up of rectangles.

Here's a clue: you'll find rectangles nested within other rectangles.

I suggest pausing here, grabbing some paper, and attempting the challenge before proceeding to the solution.

The solution is quite concise.

We begin by dividing the figure into distinct, non-overlapping sections.

Each section can be labeled with letters a through g.

For the rectangles that consist of a single region, we find:

Three rectangles are categorized as b, c, and d.

For rectangles made of two regions, we identify:

Five rectangles can be defined as ab, bc, cd, cf, and de.

For those composed of four regions, we discover:

Three rectangles are recognized: abcd, bcfg, and cdef.

In total, we have identified 11 rectangles.

Isn't that impressive?

What were your thoughts while solving this? Feel free to leave a comment; I'd love to hear from you!

If you're interested in more intriguing math challenges, check out the following collection on Medium:

The first video, titled "Count Them All - JJ Weeks Band Lyric Video," beautifully illustrates the theme of counting.

The second video is "Brandon Lake - Count 'Em (Official Music Video)," which adds a creative touch to the counting experience.

Thank you for taking the time to engage with this puzzle!

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If you appreciate my efforts, consider buying me a coffee to support my writing and studies. Thank you, and happy solving!