This video demonstrates a visual geometric method for solving algebraic equations by representing multiplication as rectangle areas. Given A×B=24, A×C=54, and B×C=36, the solution involves drawing rectangles where each equation represents an area, then using the relationships between these areas to find the individual values. By comparing the areas (54-24=30 and 36-24=12), the total area becomes 81, which equals C×C, revealing C=9. Substituting back gives A=6 and B=4, so A+B+C=19. This approach transforms abstract algebraic relationships into concrete geometric representations, making complex problems more intuitive.
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99% of People fail This Simple Math Puzzle!❌#maths #education #puzzle #ytAñadido:
It's not that our kids can't learn. It's just that some teachers aren't teaching it the right way. Let's look at the problem. It states that A * B = 24, A * C = 54, and B * C = 36. We need to find the sum of A, B, and C. To find the sum of these three numbers, I need to know what A, B, and C are individually. So, how should we go about this?
Director You is going to show you a trick. You can use a visual approach for this problem. So, how do you draw it?
For example, look at the first equation, A * B = 24. Doesn't that remind you of calculating the area of a rectangle where you multiply length by width?
So, next, I'll draw a rectangle. Let's call this side A and this side B. Their product gives us the area of the rectangle, which is 24. All right, now let's say A * C = 54. How should I represent this C? It's clear that since A * B is 24 and A * C is 54, C must be longer than B, right?
So, next, I'll just draw along this B, extending it this far. There, connect it up. Now, let's treat this whole shape as having C on this side and A on this side. So, the total area of A * C is 54.
What about this small piece?
54 - 24, right? That's 30. Okay, moving on. It says B * C = 36. So, how do I express that? Look, if I were to extend A just a little bit and let this side be labeled C, then C multiplied by B, do you see? Isn't that the area of this specific part? It's 36. Oh, wait, the entire thing is 36 and this section here is 24. So, wouldn't that calculation just be 36 - 24, which leaves us with 12? All right, and now I am going to connect this side as well. And just like that, it transforms into a perfect C by C square. Do you happen to know how we might find the area of this square?
Actually, this is the only piece that is still missing, isn't it? So, how exactly do we calculate this? Let us take a moment to compare these two values.
Since 24 is exactly twice the value of 12, then 30 must also be twice that amount. So, if we take 30 and divide it by two, what does that leave us with?
Equals 15. So, adding up the whole figure, 24 + 12 + 30 + 15, that comes out to 81. Oh, the total area is 81, and I know how 81 is derived. It's C * C, right?
All right, what number multiplied by itself equals 81? It has to be the same number used twice. Oh, I know, it's 9 * 9, which is 81. Got it. So, that means C is definitely 9. Now that we have found the value of C, what number times 9 equals 54? Well, yes, 6 * 9 is 54, right? Now, if A is 6, 6 * what equals 24? 6 * 4 equals 24. Got it. A is 6, B is 4, C is 9. So, what do these three numbers add up to?
So, is the answer 19 then? All right, that effectively wraps up this particular problem. Let's move on to the next.
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