I have often realized that mathematics is very much like life. We regularly face situations where we need to observe, think, and proceed step by step before arriving at the right solution. Nothing is resolved by chance: it is logic, patience, and perseverance that allow us to succeed. This is also what excites me about math challenges. Behind a seemingly complicated figure often lies a simple idea. I enjoy taking the time to uncover this logic and demonstrating that with a little reflection, anyone can solve a problem that initially seemed impossible.
Mathematics helps us develop our reasoning, concentration, analytical skills, and observational abilities. It also teaches us never to give up in the face of difficulty and to break down a problem into smaller, more manageable steps.
“Mathematics is the language with which God has written the universe.”
Galileo
This quote reminds us that mathematics is present all around us. It helps us understand the world, decode the phenomena that surround us, and develop a more logical and rigorous way of thinking.
Today, I present to you a new geometry challenge that will put your logic to the test.
What This Challenge Allows You to Work On:
- Calculating area
- Geometric reasoning
- Proportions
- Analyzing a figure
- Logic and precision
CHALLENGE OF THE DAY
The colored area corresponds to a rectangle.
Colored area = ??
Answer: ______ ??
Take your time to observe the figure and identify the relationships between the triangle and the rectangle. The solution requires more reflection than calculation.
The countdown begins:
50…
40…
30…
20…
10…
5…
4…
3…
2…
1…
Time’s up!
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</form>What Your Performance Can Reveal
If you found the result quickly and correctly, you have excellent logic and strong analytical skills.
If you found the result after some thought, you know how to structure your reasoning and verify your steps.
And if the result is incorrect or not found, no worries; this type of exercise is perfect for improving method and precision.
Detailed Solution We Found (Not Necessarily the Only One)
1. Observing the Triangles
Let’s look at the two small white triangles that touch the blue rectangle:
The triangle DBE (bottom left) has a base of 2 m.
The triangle ADF (top right) has a height of 4 m.
These two triangles share the same angles as the larger triangle. In
