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# If the perimeter of the triangle above is 19, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 41631

Kudos [?]: 124106 [0], given: 12071

If the perimeter of the triangle above is 19, then x = [#permalink]

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01 Sep 2017, 07:43
00:00

Difficulty:

25% (medium)

Question Stats:

73% (00:22) correct 27% (00:24) wrong based on 23 sessions

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If the perimeter of the triangle above is 19, then x =

(A) 8
(B) 6
(C) 5 3/4
(D) 4
(E) 3 1/2

[Reveal] Spoiler:
Attachment:

2017-09-01_1836_003.png [ 4.51 KiB | Viewed 304 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 124106 [0], given: 12071

Director
Joined: 04 Dec 2015
Posts: 696

Kudos [?]: 262 [0], given: 261

Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
Re: If the perimeter of the triangle above is 19, then x = [#permalink]

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01 Sep 2017, 08:01
Bunuel wrote:

If the perimeter of the triangle above is 19, then x =

(A) 8
(B) 6
(C) 5 3/4
(D) 4
(E) 3 1/2

[Reveal] Spoiler:
Attachment:
2017-09-01_1836_003.png

Perimeter $$= (x) + (x-1)+ (2x-4) = 19$$

$$x + x-1 + 2x-4 = 19$$

$$4x - 5 = 19$$

$$4x = 19 + 5 = 24$$

$$x = \frac{24}{4} = 6$$

Kudos [?]: 262 [0], given: 261

Intern
Joined: 05 Oct 2014
Posts: 19

Kudos [?]: 11 [0], given: 78

Concentration: Finance, Entrepreneurship
Re: If the perimeter of the triangle above is 19, then x = [#permalink]

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07 Sep 2017, 13:52
Perimeter of given triangle = 19

also, perimeter = x+x-1+2x-4
= 4x -5

now, as both perimeter values are equal, we have

4x-5 = 19
x = 6

Option : B

Kudos [?]: 11 [0], given: 78

Re: If the perimeter of the triangle above is 19, then x =   [#permalink] 07 Sep 2017, 13:52
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