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Bunuel
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Jabjagotabhisavera
Bunuel

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

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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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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Bunuel

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

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
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