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26 Jan 2017, 05:39
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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
A 28
B 36
C 42
D 54
Sent from my Lenovo A6020a46 using GMAT Club Forum mobile app
01 Feb 2017, 17:30
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Harshit401
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
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
chesstitans
Joined: 12 Dec 2016
Last visit: 20 Nov 2019
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Location: United States
Schools: Stanford '19 Carroll '19 LBS '19
GMAT 1: 700 Q49 V33
GPA: 3.64
14 Apr 2017, 18:13
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what? 1x1 and 2x2, .... are squares, not rectangles, somehow, i find this post something weird, it is not gmat problem!
