Q31

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magical cook: Master | Next Rank: 500 Posts; Posts: 484; Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member; Thanked: 2 times

by magical cook » Wed Sep 19, 2007 2:13 pm

Each side of a certain parallelogram has length 6. if the area of the parallelogram is 18.
which of the following is the measure of one of its angles?

A. 30’ B. 45’ C. 60’ D. 90’ E.120’

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Source: Beat The GMAT — Problem Solving | Wed Sep 19, 2007 2:13 pm

tanyajoseph: Master | Next Rank: 500 Posts; Posts: 103; Joined: Wed May 30, 2007 6:17 amFollowed by: 1 member

by tanyajoseph » Wed Sep 19, 2007 3:25 pm

Should be A.

In a paralellogram opposite sides are parallel and equal.
Say ABCD is a parallelogram where AB and CD are the bases and BC and CD the width. Height is determined by drawing a perpendicular line from vertex D to AB. This forms a 30-60-90 triangle. And so one angle can be calculated as a 30 degree angle from this diagram.
It would help you understand better if you could try drawing the picture. I am unable to scan the sheet with the diagrammatic explanation. Hope this helps!

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kajcha: Master | Next Rank: 500 Posts; Posts: 321; Joined: Tue Aug 28, 2007 5:42 am; Thanked: 1 times

by kajcha » Wed Sep 19, 2007 5:35 pm

Agree A

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magical cook: Master | Next Rank: 500 Posts; Posts: 484; Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member; Thanked: 2 times

by magical cook » Wed Sep 19, 2007 9:28 pm

Thanks for explanation - yes OA is 30.

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