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# Each side of a certain parallelogram has a length of 6. If

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Manager
Joined: 10 Oct 2005
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Each side of a certain parallelogram has a length of 6. If [#permalink]  22 Aug 2006, 01:28
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Each side of a certain parallelogram has a length of 6. If the area of the parallelogram is 18, which of the following is the measure of one of its angle?

(A) 30'

(B) 45'

(C) 60'

(D) 90'

(E) 120'
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Director
Joined: 13 Nov 2003
Posts: 793
Location: BULGARIA
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Kudos [?]: 26 [0], given: 0

6*3 =18 so the height of the parralelogram is 3 . Side is 6. Cathet against angle of 30 degrees is half the hypothenuse. SO A)
Director
Joined: 19 Mar 2007
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Could anybody please eleborate further on this problem?
Director
Joined: 06 Sep 2006
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area = 6 * h
18 = 6 * h
h = 3

6^2 = 3^2 + x^2
x = 3√3

ratio of sides = 3 : 3√3 : 6 THIS IS 30 : 60 : 90 triangle
So answer should be 30. A.
Senior Manager
Joined: 21 Jun 2006
Posts: 287
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Kudos [?]: 30 [0], given: 0

A of parallelogram = h*b
h*b=18
h= 18/6 = 3

sin x = 3/6 = 1/2
x=30
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