
By: fanny6573 (offline) Tuesday, April 10 2012 @ 12:12 AM CDT (Read 1964 times)



fanny6573 
Any one have the faster method to solve the followings question?
Please refer the attachment.
Thank you.

Junior
Registered: 07/19/10 Posts: 28





By: echeewh (offline) Tuesday, April 10 2012 @ 06:37 AM CDT



echeewh 
Hi there,
Do let me know if the answers provided matches yours.
The formula / algorithm for the pattern is usually related to the Pattern Number.
Q1.
Number of tiles / squares along the length of each rectangle = Pattern Number + 2
Number of black tiles / squares = Pattern Number
In Pattern 24, number of tiles / squares along the length = 24 + 2 = 26; number of white tiles /squares along the width = 3.
Therefore, total number of tiles = 26 x 3 = 78
Number of black tiles / squares = 24
Hence, number of white tiles / squares = 78  24 = 54
Q2.
(a) Number of white tiles in Pattern 18 = 400  324 = 76
(b) Pattern 32 ( see attached worked solution )
(c) Dotted tiles = Square of Pattern Number
White tiles = ( 4 x Pattern Number ) + 4
So in Pattern 53, Dotted tiles = 53 x 53 = 2809
White tiles = ( 4 x 53 ) + 4 = 216
Difference = 2809  216 = 2593
Cheers,
Edward
P.S. 13/4  Reposted attached worked solution due to some typo err.

Active Member
Registered: 04/21/11 Posts: 627





By: fanny6573 (offline) Wednesday, April 11 2012 @ 03:54 AM CDT



fanny6573 
Dear Edward
Thanks for the solution.
The answer for Q2 (b) given is 34. I think your answer 32 is correct.

Junior
Registered: 07/19/10 Posts: 28



