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# How many small rectangles of dimension 3in x 5in can be cut

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Manager
Joined: 31 Dec 2003
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How many small rectangles of dimension 3in x 5in can be cut [#permalink]

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03 Sep 2004, 10:48
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How many small rectangles of dimension 3in x 5in can be cut from a rectangular sheet of dimensions 7in x 12in.

I had an argument with a friend on the approach to this problem. Please explain how you would solve this.

Thanks.

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Director
Joined: 20 Jul 2004
Posts: 590

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03 Sep 2004, 17:47
Yeah, 4 in whatever axis you align the 3 and 5 of small rectangle.

The problem would have been interesting if the Q was "How many small rectangles of dimension 3in x 5in can be cut from a rectangular sheet of dimensions 8in x 12in. "

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Joined: 31 Dec 1969

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Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

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04 Sep 2004, 00:04
hardworker,
the actual question was - how many small rectangles of dimension 3 x 4 can be cut from a rectangular sheet of dimension 12 x 8.
in this question, the answer works out to be 7 since you can have 4 3 x 4 sheets in the first row and 3 4 x 3 sheets in the second row.
also, the answer = 12 * 8 / 3 * 4.

so my frined was insisting very hard that for these kind of problems, always the answer can be found by dividing the area of the big sheet by the area of small sheets and by taking the integer part of the whole number.
suddenly, i had some self doubts and hence posted this question.
i guess my logic is fine.
thanks.

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04 Sep 2004, 00:04
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