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# The perimeter of a 7-sided figure is 15. If the length of each side of

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Math Expert
Joined: 02 Sep 2009
Posts: 41886

Kudos [?]: 128752 [0], given: 12182

The perimeter of a 7-sided figure is 15. If the length of each side of [#permalink]

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26 Sep 2017, 23:27
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88% (00:25) correct 12% (00:36) wrong based on 26 sessions

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The perimeter of a 7-sided figure is 15. If the length of each side of the figure is increased by 2 units, what is the perimeter of the new figure?

(A) 22
(B) 24
(C) 29
(D) 30
(E) 119
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128752 [0], given: 12182

Senior Manager
Joined: 25 Feb 2013
Posts: 397

Kudos [?]: 168 [0], given: 31

Location: India
GPA: 3.82
Re: The perimeter of a 7-sided figure is 15. If the length of each side of [#permalink]

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27 Sep 2017, 00:00
Bunuel wrote:
The perimeter of a 7-sided figure is 15. If the length of each side of the figure is increased by 2 units, what is the perimeter of the new figure?

(A) 22
(B) 24
(C) 29
(D) 30
(E) 119

let the lengths of seven sided polygon be a, b, c, d, e, f & g

Given $$a+b+c+d+e+f+g=15$$

Now if each side is increased by 2, then the new perimeter will be

$$a+2+b+2+c+2+d+2+e+2+f+2+g+2 = a+b+c+d+e+f+g+14=15+14=29$$

Option C

Kudos [?]: 168 [0], given: 31

Intern
Joined: 07 Sep 2017
Posts: 8

Kudos [?]: 1 [0], given: 4

Location: Australia
Re: The perimeter of a 7-sided figure is 15. If the length of each side of [#permalink]

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27 Sep 2017, 20:47
Given, 7a = 15; a = 2.14.
Increase side by 2 units, a = 2.14+2 = 4.14
New Perimeter = 4.14*7 = 29. [C]

Kudos [?]: 1 [0], given: 4

Senior Manager
Joined: 25 Feb 2013
Posts: 397

Kudos [?]: 168 [0], given: 31

Location: India
GPA: 3.82
Re: The perimeter of a 7-sided figure is 15. If the length of each side of [#permalink]

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27 Sep 2017, 21:40
BigM wrote:
Given, 7a = 15; a = 2.14.
Increase side by 2 units, a = 2.14+2 = 4.14
New Perimeter = 4.14*7 = 29. [C]

Hi BigM

Although you have got the Approximate answer but Mathematically it is not correct because the question no where mentions that all sides of the polygon are equal. Hence perimeter cannot be assumed to be 7a in this case.

Kudos [?]: 168 [0], given: 31

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Location: India
Concentration: Operations, Marketing
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GRE 1: 314 Q157 V157
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WE: Manufacturing and Production (Manufacturing)
Re: The perimeter of a 7-sided figure is 15. If the length of each side of [#permalink]

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28 Sep 2017, 07:07
Bunuel wrote:
The perimeter of a 7-sided figure is 15. If the length of each side of the figure is increased by 2 units, what is the perimeter of the new figure?

(A) 22
(B) 24
(C) 29
(D) 30
(E) 119

The answer is 29 i.e C
Old perimeter 15 .
Each side is increased by 2 units then the net increase in perimeter will be 2*7=14
Total perimeter =15+14=29
_________________

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Kudos [?]: 69 [0], given: 532

Re: The perimeter of a 7-sided figure is 15. If the length of each side of   [#permalink] 28 Sep 2017, 07:07
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