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# What is the area of the quadrilateral shown above?

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What is the area of the quadrilateral shown above? [#permalink]  07 Jun 2017, 01:52
Expert's post
00:00

Question Stats:

85% (00:45) correct 14% (01:13) wrong based on 27 sessions

What is the area of the quadrilateral shown above?

A) $$2 \sqrt{3}$$

B) $$3 \sqrt{3}$$

C) $$6$$

D) $$6 \sqrt{3}$$

E) $$8$$
[Reveal] Spoiler: OA

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Re: What is the area of the quadrilateral shown above? [#permalink]  04 Jan 2018, 21:13
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Draw a perpendicular forming two right angle triangle, now the figure has two right angle triangle and one rectangle.Both the triangles have same angle so the area will be same.
By using pythagoras theorem find the height of the triangle i.e sqrt(3), now find the area of both the triangle and a rectangle.
sqrt(3)/2+sqrt(3)/2+2*sqrt(3) = 3sqrt(3)
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Re: What is the area of the quadrilateral shown above? [#permalink]  11 Jan 2018, 00:51
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Consider three equilateral triangles within quadrilateral,each with side measuring 2.Now Area for Equilateral triangle is (sqrt(3)/4)*(side)^2 and multiply it by 3 to get area for three equilateral triangle i.e whole quadrilateral.
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Re: What is the area of the quadrilateral shown above? [#permalink]  23 Jan 2018, 10:45
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Re: What is the area of the quadrilateral shown above? [#permalink]  23 Jan 2018, 15:28
Expert's post
Added the OA. It is B.

Regards
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Re: What is the area of the quadrilateral shown above?   [#permalink] 23 Jan 2018, 15:28
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