Seemingly impossible puzzle Amazingly easy solution

@cycy982

3 жыл бұрын

Your comment's true, Isn't it?

that is an insanely hard problem, but the solution if tricky and elegant. That's what I love.

This is easy, if we have patience.

@BrainPermaDeD

3 жыл бұрын

hmm. Probably true. but these puzzling maths are hard.

@ihti20

3 жыл бұрын

This is easy, if we have pencil))) I failed to keep everything in mind, so I took a pencil and solved it in a couple minutes. Solution is obvious, I just checked my answer in the video.

THANK YOU. Great video. To answer your question "I" ask at the beginning, "Can you calculate the area of the rectangle?" NO. But after watching your video I know I can now answer Yes.

Beautiful!! Clean and sharp. Thank you Ammar for one more great puzzle.

I defined the side lengths for each square then setup the equation for sum of areas of the 9 squares = length x width of the rectangle. That equation reduces to c^2 - 48c + 432 = 0. That equation can be solved with c being either 12 or 36. Putting 36 into the equation for c gives area of 16,896 while 12 gives an area of 1920. With area of 1920 however the G square has area of 0 so technically only 8 squares.

Out of ur all the puzzle, I was able to able to solve only this puzzle within few minutes and was really happy when I saw that our approach was similar. ..😀😀

@kuls43

4 жыл бұрын

It took some time but finally I was able to solve it.

I love geometrical puzzles 🤝.great video❤❤

Rather easy. I solved it exactly the same way as shawn in the video. Greetings.

Me after seeing the question - it's beyond my capability. Let's see the answer😂 Me after seeing the answer - I could have done that Moral : never give up without trying👍

I used an approach similar to others, labeling the sides of square to the right of the 4 cm, as x. I wound up in the top right square being x+44 at the top and the opposite side 3x-12. Setting them equal, you solve for x=28. Substituting back, the length across the top is 128 cm and the length down the side is 132 cm, the product being 16896 sq cm

@jaideepbanerjee2457

3 жыл бұрын

Used a similar approach just with 1 variable

Easy. I fast forwarded to the end and got the answer in seconds!

Logically Yours = Best puzzles Only few of puzzles i could solve and geometrical ones are my strength I solved this puzzle same way.

Nice puzzle involving algebra and geometry involving multiple variables.

@LOGICALLYYOURS

4 жыл бұрын

Thanks Gopu sir :)

Amazing puzzle

Nice puzzle👍, i like it hope you will share more logical puzzles like this.

Perfect and clear explanation 👌😊😊👍👏.. Thankyou very much for your videos

Yes I got it right. It was a nice puzzle!

My first time in this channel , i solved this problem😁so happy...

Since the puzzle involved mathematical calculation, I am happy that I was able to solve the puzzle. My approach was similar. Just I expressed the sides of all the squares using a single variable say 'x' and then I equated the two opposite lengths to get 'x' . Then we can easily get length and breadth of entire rectangle and then the area.😀

@LOGICALLYYOURS

4 жыл бұрын

Komal... would you please write down here, it would certainly help everyone.

@komalagarwal9830

4 жыл бұрын

Thank you Amar for liking the reply. As I said earlier that I used a similar approach. I started with block 'c' as per ur labelling and expressed sides of all squares in terms of 'c'. b= c-4, a= c-8, d= c+4, e=d-a= 16, f= c+20, g= c+36, h= 2c-12 Then equating two opposite sides i.e. f+g =c+b+h we get (directly c instead of h) c=36 cm. Difference starts from here that instead of calculating size of all squares I used algebra Therefore breadth= f+g = (c+20) + (c+36) = 2c + 56 = 128cm length = g+ h = (c+ 36)+(2c-12) = 132 cm Area = l*b = 16896 cm² I just omitted unnecessarily calculating sides of all the squares.

@V7B817

4 жыл бұрын

Exactly same

@rahulmalik1510

4 жыл бұрын

@@LOGICALLYYOURS can youpl share the software or platform on which you createthe puzzles

I loved this puzzle and I solved it in less than 5 minutes! My point of reference was different than the one in the video, as I made the side of square A equal to x+4, but it turns out the same either way.

Very interesting puzzle

I could actually do it what an awesome puzzle!

I took left lower corner as x then x-4, x+4, x-8, 16, x+20, 2x-12, x+36 then equate top and bottom side to find x which is 36.

Really put brain into much exercise Nice one👌

"Did you figure it Out !?"

clear explanation and nice video sir upload more videos like this sir

Oh,i thought it is impossible😯

Nice one

Great puzzle

It was amazing ( the question and solution) thanks

Great video

My approach was nearly identical, except I had a=x+4 and then used that.

Wow amazing 👏😍👏👏👍👏

Awesome 😍

I started with the sides of the given square as 1cm instead of 4cm, keeping calculations simple. And multiplied the sides of final square by 4 at the end. b=a+1, c=a+2,d=a=3,e=4, f=a+7,g=a+11,h=a+11-4 and so on using the same logic, I got my rectangle as 32x34. Mutiply both sides by 4 to get 128x132 = 16,896 sq cm.

@LOGICALLYYOURS

4 жыл бұрын

In your last point, multiplying 34 by 4 gives 136. Any correction needed in the approach ?

It was a fun and very interesting problem. But not so logical( 🤔logic : to get to such equations which have one of two variable same like here breath can be 3x-2y-4 and also can be 3x-3y+12 for x and y read below👇😊 and so we can have y and same means as x) it is more algebra and equations And yes I got it right I let upper left corner square as x and a small square under it as y( which later get side length as 16cm) By some equations and solve them I got value of x and y as 56 and 16 respectively. Now from me length(l) is 2x+y And breadth(b) is 3x-2y-4 and by value. As length= 128cm and breadth=132cm So area of rectangle= l×b= 128×132=16896cm^2😎☺️ But I didn't calculate side length of all other square

@LOGICALLYYOURS

4 жыл бұрын

That's correct ! ... By the way if I remember correctly, i have said "think mathematically" this time ;) (not logically)

Best channel

I thought of doing something same but didn't actually do it Thank you for the clear explanation 🔥🔥

impressive

Amazing

It's simple geometry bro.. but takes time to get values of variables.

@curious_one1156

4 жыл бұрын

One can just use one variable x. Mark it as length of any one square next to square of 4. Then, proceed marking all square lengths in terms of x. Finally, get x by solving : multiplying length and breadth of rect and equating to sum of all square areas. Solve quadratic to get x. Then, find overall area.

@saiprakash163

4 жыл бұрын

@@curious_one1156 That's right bro and that's what I did.. and I replied to AMMAR🙂

@tt27footie52

4 жыл бұрын

@@saiprakash163 Oh, can you please show it to me?

Nice

Did it myself by seeing the thumbnail, took a good time but answer is correct. 😊 Nice puzzle

Sir when u find value of a in first equation .. why you go for another two eqs.

Woowwwww

I did same . But I did one different . I already assume that E squared look double black squared so I assume it's length would be 16 . Because if u look closely they are identical . Just double . But I think it's wrong thinking

👏👏

𝐑𝐞𝐚𝐥𝐥𝐲 𝐞𝐚𝐬𝐲 𝐭𝐨 𝐮𝐧𝐝𝐞𝐫𝐬𝐭𝐚𝐧𝐝...👍

If I could have shown u the page where I did this solution , u may appreciate it

It is the real puzzle

First

I wonder.... What is perfect square?🤔

Solved in 2sec

easy problem i got 16896

At 2:51 instead of calculating h if we had calculated a the problem would have had solved there itself.

Just one thing. While you were adding 4 to a particular side, it would amount to adding 4 to only a length or breadth not both. E.g. if a smaller square had 12 cm side and another had 16 Cm side then adding 4 to 144 (area of 12 Cm square) would not make it equal ro area of 16 Cm square. Would the area of all squares add up to the area of the rectangle as mentioned in your solution ?

@LOGICALLYYOURS

4 жыл бұрын

We just need to add up the lengths (not the area... as you mentioned correctly). But when we have lengths of all squares, we can calculate area of each one... and adding up the area of all the squares gives the equivalent area of rectangle (because the rectangle is divided into those many squares).

@Vasudev007

4 жыл бұрын

But as you can see, area of D+4 cannot be equal to E+A as in your calculation since D is anyway bigger than E or A and we are adding another 4 to D. Think about it again.

@rutgerdekok1324

4 жыл бұрын

@@Vasudev007 Logically Yours starts by calculating the LENGHTS of the sides of the squares, NOT the Areas. Once you have all the lengths of the squares you can calculate that the width of the rectangle = 128 and the hight = 132. So the total Area = 128 x 132 = 16896. If you're still not sure and want to check the answer have a look at this: Little square= 4x4, A = 28x28, B = 32x32, C = 36x36, D = 40x40, E = 16x16, F = 56x56, G = 72x72, H= 60x60.

@Frie_Jemi

3 жыл бұрын

@@Vasudev007 I believe I have seen the problem you were having when you say d + 4 is not equal to e + a, you are using all capital letters. And the problem you must notice capital letters are used for area, and lowercase letters signify side length. It appears this is where you reached your confusion. When he was comparing D + 4 he actually compared d+4. I think if you take this this difference into account and relook at the problem closely you will see that you were mistaken. For clarity pause the screen at one minute 48 seconds

i got 68x64

My answer was "Yes" I could see how to do it but did not actually calculate a value.

16 and 36 are the only "Perfect Squares"

Pls explain squared square topic

@LOGICALLYYOURS

4 жыл бұрын

Sure... i will cover that topic.. it has interesting history.

@star621

4 жыл бұрын

@@LOGICALLYYOURS where do you live bro ❤️❤️

I solved the puzzle ans is 16896

I found e-16,a-30,b-34,c-38,d-42,e-16,f-58,g-74,h-64. Is that correct?

In case of squared square.. we can simply get the side with just 1 variable.

@priyakumar9285

4 жыл бұрын

PlsExplain it elaborately

@sakarasomapa

4 жыл бұрын

gudla chandinipriya he probably isn’t a native English speaker and mistake the big rectangle as a square and then after some calculation be like, what? these sides aren’t equal? Happen to me too.

@saiprakash163

4 жыл бұрын

@@priyakumar9285 The video was about a squared rectangle.. and I said, if in the case of a squared square.. we can solve the problem by taking just 1 variable as we can equate sides at last🙂.. And I replied to description of this video🙂

@saiprakash163

4 жыл бұрын

@@sakarasomapa I'm not a native English speaker, but I understand and speak it quite well🙂

@sakarasomapa

4 жыл бұрын

Sai Prakash Sorry, I was just trying to find a friend in misery in the the comment section. I apologize if I upset you.

Here...all squares doesn't have the same side... at the bottom...we have 3 square placed... whereas..if we see vertically...on the right hand side..only two squares are placed of different side length..... this possible...since first we can make rectangle and draw squares inside of it.. .

Here,one can just use one variable x. Mark it as length of any one square next to square of 4. Then, proceed marking all square lengths in terms of x. Finally, get x by solving : multiplying length and breadth of rect and equating to sum of all square areas. Solve quadratic to get x. Then, find overall area. Though, this was awsome.

Most people give up even before trying

You haven’t replied to my below comment. So should I assume that my observation is correct and the answer given in the video is wrong ?

16,896? Solved identically to your solution...

i found out the way but does anyone even give that much time in an interview???

Its ok, but image never shouldn’t used to resolve

There was a seth. She had a daughter. No one was willing to marry her. Once a man agreed to marry her but he made a condition that I would come to marry your daughter on any date in January. On the date when I get married, I have to give you as much gold. Shetji agreed and went to Soni. And he made five rings in such a way that even if that person came on any date, Seth could give him as much gold as that date. So Shetji: How many tolas should these five ringes be?? Sir please make video to solve this puzzle 🙏🙏🙏🙏

@LOGICALLYYOURS

4 жыл бұрын

Thanks Hetal for sharing... We should use powers of two logic.... Can you send this to my email address logicreloaded@gmail.com so that it would be easy to track with name.

@surajpaudel388

4 жыл бұрын

1, 2, 4, 8, 16

Will the figure be given ?

Interview me nhi solve ho payega ye sb for sure

9

It is not possible becoz in order to find area of rectangle we need rectangle

Ignore this comment please. I don’t have a paper with me and just wanted to noted down some number in my mind before continue watching. 4 16 x x+4 x+8 x+12 x+28 2x+4 x+44 = 3x-12 2x = 56 x=28 x+44 + 2x+4 = 132 x+44 + x+28 = 128 132*128

6 8 7 ; 3 64 4 ; 24 48 ? _____________________ Most Difficult question ______________________

If all the boxes are square inside the bigger box..Then how the bigger box is rectangle?? Explain.

@rbgames92

4 жыл бұрын

Well any rectangle is made up of various squares. Take rooms for examples.

@LightningSt0rm

4 жыл бұрын

All squares are rectangles, but not all rectangles are squares.

@dhorababulalam5564

4 жыл бұрын

It will be easy if "boxes are square" was replaced by cube and "bigger box is rectangle" by cuboid. Just assume a 3 dimensional world of things :) For a simple way If u place 2 cubes in length axis And 2 cubes in breadth axis And 2 cubes in height axis The resultant will obviously be a CUBE. If u have different number of cubes in different axis (X, Y, Z) the resultant will be a CUBOID. And if u want, u can replace the 3D observation to 2D, SO there will be a result of square or rectangle depending on the case u considered. Hence Explained:) Note: This was my 1st comment so far in youtube. Thanx for ur patience. Hope my next comment will be better than this lengthy rope :)

@piratesofphysics4100

4 жыл бұрын

If we put 3 exact same squares serially that won't happen ever that the whole shape would be a square.

@luunhattruong2384

3 жыл бұрын

if you put 6 1x1x1-squares together, you'll get a 2x3-rectangle

There is no rectangle. It is a square.

@star621

4 жыл бұрын

Are you drunken😂😂

@spartan5816

4 жыл бұрын

@@star621 Stupid,Robert is right... If it was a rect then it would be 2(lxb).

@star621

4 жыл бұрын

@@spartan5816 volume of rectangoe is L*B not 2(l x b)😂😂

@star621

4 жыл бұрын

@@spartan5816 what are you trying to say stupid😂

Am i the only genius who was trying to solve this in mind ? -_-

and i was always saying, that some a+b*d-c + one cow and whatever, is absolutely useless in my life. And .... i was RIGHT!!! but... Great video to see it have some purpose :)

I misinterpreted "9 perfect squares" as "9 equal squares" and got confused and hot 144 as my answer 🤦‍♀️

What a boring and easy puzzle .

Very interesting puzzle