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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: 47182
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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Difficulty:

25% (medium)

Question Stats:

87% (00:27) correct 13% (00:41) wrong based on 30 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

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Posts: 1183
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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
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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]
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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.
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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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Re: The perimeter of a 7-sided figure is 15. If the length of each side of &nbs [#permalink] 28 Sep 2017, 07:07
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