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# If the number of diagonals in an n sided polygon is 5 times the number

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Joined: 25 Dec 2018
Posts: 146
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
If the number of diagonals in an n sided polygon is 5 times the number  [#permalink]

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11 Jan 2019, 22:58
2
1
00:00

Difficulty:

45% (medium)

Question Stats:

50% (01:12) correct 50% (01:35) wrong based on 38 sessions

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If the number of diagonals in an n sided polygon is 5 times the number of its sides, what is the value of n?

A. 7
B. 9
C. 11
D. 13
E. 15
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Joined: 26 Dec 2018
Posts: 142
Location: India
Re: If the number of diagonals in an n sided polygon is 5 times the number  [#permalink]

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11 Jan 2019, 23:34
2
For a polygon with “n sides”
the number of diagonals = n(n-3)/2

Given:
In an n sided polygon the number of diagonals is 5 times the number of sides
the number of diagonals = 5n

=> n(n-3)/2 = 5n
(n-3) = 10
n = 13

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Joined: 02 Aug 2013
Posts: 4
GMAT 1: 680 Q49 V34
Re: If the number of diagonals in an n sided polygon is 5 times the number  [#permalink]

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26 Feb 2019, 09:32
n(n-3)/2 = 5n
=> n = 13

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Re: If the number of diagonals in an n sided polygon is 5 times the number   [#permalink] 26 Feb 2019, 09:32
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