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Maths Brain Teaser


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#1 Beaker77

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Posted 06 June 2018 - 08:17 AM

The  figure shown consists of a rectangle and the numbers labelled over the top represents the area of that particular shaded region. 

Calculate the area of the green region labelled as '?'

I cannot find an answer which agrees with that provided, can you solve it ?

I will give the answer provided after adequate exposure.

.

gqAg6tC.jpg  



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#2 Orange Blossom

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Posted 06 June 2018 - 09:21 AM

Are any other dimensions given?  What does the 2 and the 3 stand for?


Edited by Orange Blossom, 06 June 2018 - 09:21 AM.

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#3 Beaker77

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Posted 06 June 2018 - 10:10 AM

No, just as I show it, together with the script.

I cannot solve it, even given the official answer.

I am looking for a genius on BC who may be able to.

 

I will obviously give the answer they give if nobody comes up with the "correct" answer.

Quite honestly I think the information given is not sufficient.


Edited by Beaker77, 06 June 2018 - 10:10 AM.


#4 Condobloke

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Posted 06 June 2018 - 10:37 AM

5.5


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#5 Beaker77

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Posted 06 June 2018 - 10:40 AM

5.5

PLEASE explain to me how you got that answer.​ 5.5 is correct as given, but under suspicion as being wrong. This puzzle is baffling a lot of people including me.

 

I would add that the Internet answer given looks completely wrong. So if the 5.5 is simply a look-up, then it is wrong.


Edited by Beaker77, 06 June 2018 - 10:52 AM.


#6 Orange Blossom

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Posted 06 June 2018 - 11:13 AM

Here is as far as I get with my thinking.

 

The area of blue + white = the area of green plus that brownish red.

 

The area of the blue and the brownish red, which is 2 +  3 = 5 = the area of a right triangle.

 

The area of a triangle = 1/2 the base times the height.  If we could determine the perimeter from the 2 + 3 figures and thus determine the lengths of the triangle sides, I'm thinking we could then determine other values.


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#7 Beaker77

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Posted 06 June 2018 - 11:23 AM

Here is as far as I get with my thinking.

 

The area of blue + white = the area of green plus that brownish red.

 

The area of the blue and the brownish red, which is 2 +  3 = 5 = the area of a right triangle.

 

The area of a triangle = 1/2 the base times the height.  If we could determine the perimeter from the 2 + 3 figures and thus determine the lengths of the triangle sides, I'm thinking we could then determine other values.

I like it Orange Blossom, logical, but how does it result in the green area  = 5.5 ?



#8 Orange Blossom

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Posted 06 June 2018 - 11:53 AM

I don't know.  As I said, that was as far as I got in my thinking.


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#9 The-Toolman

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Posted 06 June 2018 - 12:33 PM

Perhaps this offers a solution.

 

 

https://en.wikipedia.org/wiki/Right_triangle


Edited by The-Toolman, 06 June 2018 - 12:33 PM.

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#10 JohnC_21

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Posted 06 June 2018 - 01:39 PM

I still don't get why the white is 3*(3/2). It's all based on similar triangles and ratios.

 

http://gpuzzles.com/mind-teasers/mathematical-picture-area-problem/



#11 Orange Blossom

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Posted 06 June 2018 - 05:23 PM

The white CAN'T be 3.  The blue is 3 and it's easy to see that the area of the blue is smaller than the area of the white.  White must be larger than 3.


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#12 JohnC_21

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Posted 06 June 2018 - 05:44 PM

White is not 3 according to the comments. It's 3*(3/2) or 9/2 or 4.5 then + 3 for the blue and -2 for the red gives 5.5.



#13 Orange Blossom

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Posted 06 June 2018 - 06:03 PM

I wonder how they arrive at that for the white area.  Blue and red have different heights and bases, whatever they are.

 

It's true that red and white mirror the angles of each other, but we don't know what those angles are, and even if we did, we don't know what any lengths are to calculate areas.


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#14 Chris Cosgrove

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Posted 06 June 2018 - 06:06 PM

42 ?

 

Chris Cosgrove



#15 Orange Blossom

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Posted 06 June 2018 - 06:59 PM

And how do you arrive at that Chris?


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