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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: 55271
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:

80% (00:35) correct 20% (00:36) wrong based on 31 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

Attachment:

2017-09-01_1836_003.png [ 4.51 KiB | Viewed 663 times ]

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Joined: 04 Dec 2015
Posts: 751
Location: India
Concentration: Technology, Strategy
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

Attachment:
2017-09-01_1836_003.png

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

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

$$4x - 5 = 19$$

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

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

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Joined: 05 Oct 2014
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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
Re: If the perimeter of the triangle above is 19, then x =   [#permalink] 07 Sep 2017, 13:52
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