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What is the perimeter of parallelogram ABCD in the figure above?

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What is the perimeter of parallelogram ABCD in the figure above? [#permalink]

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New post 20 Sep 2017, 22:55
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What is the perimeter of parallelogram ABCD in the figure above?

(A) 8
(B) 4√3
(C) 6
(D) 4
(E) 2√3


[Reveal] Spoiler:
Attachment:
2017-09-20_1022.png
2017-09-20_1022.png [ 7.81 KiB | Viewed 887 times ]
[Reveal] Spoiler: OA

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Re: What is the perimeter of parallelogram ABCD in the figure above? [#permalink]

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New post 21 Sep 2017, 01:15
Bunuel wrote:
Image
What is the perimeter of parallelogram ABCD in the figure above?

(A) 8
(B) 4√3
(C) 6
(D) 4
(E) 2√3


[Reveal] Spoiler:
Attachment:
2017-09-20_1022.png


Since all the 3 angles of triangle ABD is x, it is an equilateral triangle and all 3 sides are equal.
Hence, AB=AD=2
Since it is a parallelogram, opposite sides are equal, hence in this case all sides are equal
Therefore, Perimeter = 2+2+2+2 = 8
Answer A.

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Re: What is the perimeter of parallelogram ABCD in the figure above? [#permalink]

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New post 21 Sep 2017, 05:05
Bunuel wrote:
Image
What is the perimeter of parallelogram ABCD in the figure above?

(A) 8
(B) 4√3
(C) 6
(D) 4
(E) 2√3


[Reveal] Spoiler:
Attachment:
2017-09-20_1022.png


Since all the angles are equal to x, ABD is an equilateral triangle. Thus , all the sides are equal to 2.

Therefore, perimeter of parallelogram ABCD = 2*4 = 8

Answer A
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Re: What is the perimeter of parallelogram ABCD in the figure above? [#permalink]

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New post 25 Sep 2017, 16:40
Bunuel wrote:
Image
What is the perimeter of parallelogram ABCD in the figure above?

(A) 8
(B) 4√3
(C) 6
(D) 4
(E) 2√3


Because the three angles of triangle ABD are equal, we know that triangle ABD is an equilateral triangle, so sides AB and AD are both 2. Since the opposite sides of a parallelogram are always equal, each side of the parallelogram is 2, and the perimeter must therefore be 8.

Answer: A
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Re: What is the perimeter of parallelogram ABCD in the figure above?   [#permalink] 25 Sep 2017, 16:40
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