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 By: fanny6573 (offline)  Tuesday, April 10 2012 @ 12:12 AM CDT (Read 2004 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

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