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# If a rectangular piece of paper is cut into exactly three

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Eternal Intern
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If a rectangular piece of paper is cut into exactly three [#permalink]

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16 Jul 2003, 16:26
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If a rectangular piece of paper is cut into exactly three pieces by making two straight cuts, which of the following could be the total number of edges on the three pieces?

I only got 9, need Akami to post one a drawing.
9, 11, and 12 is right

Last edited by Curly05 on 17 Jul 2003, 08:28, edited 1 time in total.
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16 Jul 2003, 21:52
9 if 3 triangles
10 if 1 rectangular and 2 triangles
11 if 1 rectangular+1trapezoid+1triangle
12 if 3 rectangulars or 4 triangles
16 if 4 rectangulars

what option is correct?
GMAT Instructor
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Re: Explanations for Geometry Duo Needed- My worst type of q [#permalink]

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16 Jul 2003, 22:09
Curly05 wrote:
If a rectangular piece of paper is cut into exactly three pieces by making two straight cuts, which of the following could be the total number of edges on the three pieces?

Hey Curly, why don't you give us all the answer choices?

By making only two straight cuts, I can get exactly 3 pieces with 20 (or even more edges). Really.

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Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 23

Kudos [?]: 198 [0], given: 0

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17 Jul 2003, 14:49
Curly05 wrote:
If a rectangular piece of paper is cut into exactly three pieces by making two straight cuts, which of the following could be the total number of edges on the three pieces?

I only got 9, need Akami to post one a drawing.
9, 11, and 12 is right

Okay. Get a rectangular piece of paper. Grab the top right corner of the paper, then fold diagonally so that the top edge lines up with the left edge. Now grab the top right corner and make a similar fold to the right, so you end up with something like a house.

Now make one horizontal cut directly across the top. Open up the paper and you will have a quadralateral cut out of the paper. Remove the quadralateral and then make a straight cut directly down the center of the paper. YOu will have 3 pieces. One will 4 sides and 2 with 8 sides.

3 dimensional thinking.
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Re: 9, 11, and 12- Please Show The Cutting-   [#permalink] 17 Jul 2003, 14:49
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