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In the following picture, how many pieces can be pasted when the shape

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MathRevolution
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In the following picture, how many pieces can be pasted when the shape [#permalink] New post   13 Nov 2019, 00:49
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[GMAT math practice question]

In the following picture, how many pieces can be pasted when the shapes shown on the left are pasted as shown on the right?

Attachment:
11.13ps.png
11.13ps.png [ 20.29 KiB | Viewed 1996 times ]


A. \(4\)

B. \(6\)

C. \(8\)

D. \(10 \)

E. \(12\)
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E
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nick1816
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Re: In the following picture, how many pieces can be pasted when the shape [#permalink] New post   13 Nov 2019, 14:43
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Basically, we'll get a regular polygon with interior angle = 360-105-105= 150

(n-2)*180 = n* 150

n=12

MathRevolution wrote:
[GMAT math practice question]

In the following picture, how many pieces can be pasted when the shapes shown on the left are pasted as shown on the right?

Attachment:
11.13ps.png


A. \(4\)

B. \(6\)

C. \(8\)

D. \(10 \)

E. \(12\)
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MathRevolution
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Re: In the following picture, how many pieces can be pasted when the shape [#permalink] New post   15 Nov 2019, 01:45
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When we put two trapezoids together as follows, we have \(∠x = 360° - 2*105° = 75°\) and \(∠BAC = 30°.\)

Attachment:
11.13ps(a).png
11.13ps(a).png [ 14.78 KiB | Viewed 1780 times ]


Since \(\frac{360°}{30°} = 12\), we can put in \(12\) triangles or \(12\) trapezoids.

Therefore, E is the answer.
Answer: E
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Re: In the following picture, how many pieces can be pasted when the shape [#permalink] New post   20 Nov 2019, 02:15
As we can see from the sample figure, it forms a regular polygon with an internal angle of 150 degrees.

(n-2)*180 = 150*n.
On solving we get n = 12.

OA - E

MathRevolution wrote:
[GMAT math practice question]

In the following picture, how many pieces can be pasted when the shapes shown on the left are pasted as shown on the right?

Attachment:
11.13ps.png


A. \(4\)

B. \(6\)

C. \(8\)

D. \(10 \)

E. \(12\)
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Re: In the following picture, how many pieces can be pasted when the shape [#permalink] New post   21 Nov 2019, 06:01
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75*2 = 150 = 180*(n-2)/n
Hence, n = 12
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Re: In the following picture, how many pieces can be pasted when the shape [#permalink] New post   10 Dec 2023, 11:51
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Re: In the following picture, how many pieces can be pasted when the shape [#permalink]
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