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# What is the greatest number of 4 x 4 squares that can be traced out

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Math Expert
Joined: 02 Sep 2009
Posts: 46207
What is the greatest number of 4 x 4 squares that can be traced out [#permalink]

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29 Sep 2017, 08:01
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Difficulty:

(N/A)

Question Stats:

52% (01:56) correct 48% (00:59) wrong based on 21 sessions

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What is the greatest number of 4 x 4 squares that can be traced out along the existing line segments of the 8 x 8 checker board shown above?

(A) 8
(B) 10
(C) 16
(D) 25
(E) 36

Attachment:

2017-09-29_1044_003.png [ 4.51 KiB | Viewed 494 times ]

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Re: What is the greatest number of 4 x 4 squares that can be traced out [#permalink]

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29 Sep 2017, 11:46
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2017-09-29_1044_003.png [ 6.42 KiB | Viewed 366 times ]

As it is clearly visible in the figure, we can draw 5 4 X 4 Squares along the length of the board.
Similarly, we can draw these 5 squares across the width of the board as marked in the figure

The total number of 4 X 4 squares that can be drawn across the board is 5*5 = 25(Option D)
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Re: What is the greatest number of 4 x 4 squares that can be traced out   [#permalink] 29 Sep 2017, 11:46
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# What is the greatest number of 4 x 4 squares that can be traced out

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