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CHESS

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CHESS  [#permalink]

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New post 26 Jan 2017, 05:39
Find the no of non congruent rectangles on a chess board
A 28
B 36
C 42
D 54

Sent from my Lenovo A6020a46 using GMAT Club Forum mobile app
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Re: CHESS  [#permalink]

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New post 01 Feb 2017, 17:30
Harshit401 wrote:
Find the no of non congruent rectangles on a chess board
A 28
B 36
C 42
D 54

Sent from my Lenovo A6020a46 using GMAT Club Forum mobile app



Hi Harshit401,

_ _ _ _ _ _ _ _ 1
|_|_|_|_|_|_|_|_| 2
|_|_|_|_|_|_|_|_| 3
|_|_|_|_|_|_|_|_| 4
|_|_|_|_|_|_|_|_| 5
|_|_|_|_|_|_|_|_| 6
|_|_|_|_|_|_|_|_| 7
|_|_|_|_|_|_|_|_| 8
|_|_|_|_|_|_|_|_| 9


On a chess board, we have following rectangles.
1x1, 1x2, 1x3, ... , 1x8
2x2, 2x3, ,,, , 2x8,
3x3, ..., 3x8
...
7x7, 7x8
8x8

Hence there 8 + 7 + ... + 2 + 1 = 36 rectangles.

Happy Studying!
Math Revolution
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Re: CHESS  [#permalink]

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New post 14 Apr 2017, 18:13
what? 1x1 and 2x2, .... are squares, not rectangles, somehow, i find this post something weird, it is not gmat problem!
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Re: CHESS  [#permalink]

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New post 17 Apr 2017, 20:30
1
chesstitans wrote:
what? 1x1 and 2x2, .... are squares, not rectangles, somehow, i find this post something weird, it is not gmat problem!


Squares are also rectangles, actually.
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Re: CHESS  [#permalink]

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New post 18 Apr 2017, 16:40
MathRevolution wrote:
chesstitans wrote:
what? 1x1 and 2x2, .... are squares, not rectangles, somehow, i find this post something weird, it is not gmat problem!


Squares are also rectangles, actually.


so, if this question appears on the real gmat, how can i intepret it? I talk about square and rectangle
Re: CHESS &nbs [#permalink] 18 Apr 2017, 16:40
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