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# In the parallelogram ABCD shown below (not per the scale), if AB = 2 a

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
In the parallelogram ABCD shown below (not per the scale), if AB = 2 a  [#permalink]

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16 Oct 2018, 00:23
00:00

Difficulty:

45% (medium)

Question Stats:

48% (01:22) correct 52% (01:50) wrong based on 42 sessions

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In the parallelogram ABCD shown below (not per the scale), if AB = 2 and BC = 3, what is the area of ABCD?

(A) 3
(B) 4
(C) 6
(D) 3√3
(E) 6√3

Attachment:

2018-10-16_1222.png [ 13.72 KiB | Viewed 352 times ]

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Re: In the parallelogram ABCD shown below (not per the scale), if AB = 2 a  [#permalink]

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16 Oct 2018, 00:54
1
Area of parallelogram is $$b*h$$

We have the base here but no height.

To calculate the height, we have a right angle triangle. A 30, 60, 90 triangle. We know the length of the side corresponding to 90 degree. We divide that by 2 to get the length of the side that corresponds to angle 30 degree. $$\frac{2}{2}=1$$

We have the base and the height.

$$b*h$$
$$3*1$$
$$=3$$

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Re: In the parallelogram ABCD shown below (not per the scale), if AB = 2 a   [#permalink] 16 Oct 2018, 00:54
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