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If the three regular polygons in the figure above have equal perimeter

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If the three regular polygons in the figure above have equal perimeter [#permalink]

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New post 20 Sep 2017, 23:01
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If the three regular polygons in the figure above have equal perimeters, which of the following is true?

(A) s < t < p
(B) s < p < t
(C) r < p < t
(D) p < t < s
(E) p < s < t

[Reveal] Spoiler:
Attachment:
2017-09-20_1022_003.png
2017-09-20_1022_003.png [ 11.76 KiB | Viewed 356 times ]
[Reveal] Spoiler: OA

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Re: If the three regular polygons in the figure above have equal perimeter [#permalink]

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New post 20 Sep 2017, 23:13
By figure perimeters are equal :

4s = 3t= 5p

=> \(t = \frac{4}{3}s\) and \(s =\frac{5}{4}p\)
=> p<s<t

Answer: E

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Re: If the three regular polygons in the figure above have equal perimeter [#permalink]

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New post 20 Sep 2017, 23:26
Bunuel wrote:
Image
If the three polygons in the figure above have equal perimeters, which of the following is true?

(A) s < t < p
(B) s < p < t
(C) r < p < t
(D) p < t < s
(E) p < s < t

[Reveal] Spoiler:
Attachment:
2017-09-20_1022_003.png


Hi Bunuel,

Since it is mentioned in the image that "Figure not drawn to scale", please confirm if the polygons are to be considered "Regular"?
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Re: If the three regular polygons in the figure above have equal perimeter [#permalink]

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New post 20 Sep 2017, 23:29
Jabjagotabhisavera wrote:
Bunuel wrote:
Image
If the three polygons in the figure above have equal perimeters, which of the following is true?

(A) s < t < p
(B) s < p < t
(C) r < p < t
(D) p < t < s
(E) p < s < t

[Reveal] Spoiler:
Attachment:
2017-09-20_1022_003.png


Hi Bunuel,

Since it is mentioned in the image that "Figure not drawn to scale", please confirm if the polygons are to be considered "Regular"?

_________________________
Yes.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128929 [0], given: 12183

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Re: If the three regular polygons in the figure above have equal perimeter [#permalink]

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New post 20 Sep 2017, 23:40
Since perimeters are equal
4s = 3t = 5p
s = 0.75t
p = 0.6t
So s:p:t = 0.75:0.6:1
Hence p<s<t

Answer E

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If the three regular polygons in the figure above have equal perimeter [#permalink]

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New post 21 Sep 2017, 18:17
Bunuel wrote:
Image
If the three regular polygons in the figure above have equal perimeters, which of the following is true?

(A) s < t < p
(B) s < p < t
(C) r < p < t
(D) p < t < s
(E) p < s < t

[Reveal] Spoiler:
Attachment:
2017-09-20_1022_003.png

Pick a smart number for the perimeter that is a multiple of 4, 3, and 5 (the number of sides, respectively, of the figures).

Let the perimeter for all equal 60. To get side lengths, divide perimeter by # of sides

s = 60/4 = 15
t = 60/3 = 20
p = 60/5 = 12

p < s < t

Answer E

Kudos [?]: 264 [0], given: 552

If the three regular polygons in the figure above have equal perimeter   [#permalink] 21 Sep 2017, 18:17
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If the three regular polygons in the figure above have equal perimeter

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