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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
Posts: 214
Location: US
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How many small rectangles of dimension 3in x 5in can be cut [#permalink]  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.
Director
Joined: 20 Jul 2004
Posts: 593
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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. "
Joined: 31 Dec 1969
Location: India
Concentration: Strategy, Human Resources
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GMAT 4: 710 Q45 V41
GPA: 3.31
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Kudos [?]: 93 [0], given: 88341

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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