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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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20 Sep 2017, 22:55
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Difficulty:

15% (low)

Question Stats:

90% (00:38) correct 10% (00:35) wrong based on 52 sessions

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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

Attachment:

2017-09-20_1022.png [ 7.81 KiB | Viewed 2023 times ]

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

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21 Sep 2017, 01:15
Bunuel wrote:

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

(A) 8
(B) 4√3
(C) 6
(D) 4
(E) 2√3

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.
Since it is a parallelogram, opposite sides are equal, hence in this case all sides are equal
Therefore, Perimeter = 2+2+2+2 = 8

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

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21 Sep 2017, 05:05
Bunuel wrote:

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

(A) 8
(B) 4√3
(C) 6
(D) 4
(E) 2√3

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

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

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25 Sep 2017, 16:40
Bunuel wrote:

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.

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