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Paralleogram ABCD has diagonal AC and BD what is the area of

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Director
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Paralleogram ABCD has diagonal AC and BD what is the area of [#permalink]

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10 Sep 2010, 06:47
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Paralleogram ABCD has diagonal AC and BD what is the area of the paralleogram

AC * BD = 96

2AC = BD = 48
[Reveal] Spoiler: OA

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10 Sep 2010, 07:06
rxs0005 wrote:
Paralleogram ABCD has diagonal AC and BD what is the area of the paralleogram

AC * BD = 96

2AC = BD = 48

Isn't the two statemetns contradict each other and INSUFFI to answer the question?

Stmt 1 - Gives only diagonal values which is cleary insuff to answer the area of paralleogram. (which is basexhight)

Stamt2 - Tells us that AC =24 and BD=48. This is again Insuffi to answer the question.

Combining the statements will not provide any clue for high of the parallelogram. In fact stmts contradict each other.

Hence I will go with an E.

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10 Sep 2010, 07:07
rxs0005 wrote:
Paralleogram ABCD has diagonal AC and BD what is the area of the paralleogram

AC * BD = 96

2AC = BD = 48

a parallelogram divides into two equal triangles
area of parallelogram=base* height

Statement 1: Insufficient
gives us only the product of diagonals we cant find the height and base of parallelogram..
statement 2:Insufficient
although two diagonals are given we cant find the Base and Height of parallelogram...

together also Insufficient no ways we can find both values

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10 Sep 2010, 07:34
I got this wrong as my rationale was for a moment since a rombuz is also a paralleogram and area of a rombuz is d1*d2 / 2 i thought it would be sufficient but the key here is a rombuz is a paralleogram but a paralleogram is not necessarily a rombuz
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10 Sep 2010, 07:38
rxs0005 wrote:
I got this wrong as my rationale was for a moment since a rombuz is also a paralleogram and area of a rombuz is d1*d2 / 2 i thought it would be sufficient but the key here is a rombuz is a paralleogram but a paralleogram is not necessarily a rombuz

Yeah thats why they had given the value of diagonal in the question so that people make mistake by using the formula 1/2*d1*d2 under time pressure,.,.

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11 Sep 2010, 23:51
There is something wrong with the statements here. Pleas check.
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12 Sep 2010, 09:45
I attempted this question second time and got confused with 1/2 (d1) (d2) formula. I was tricked as gmat setter wanted
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13 Sep 2010, 07:15
rxs0005 wrote:
Paralleogram ABCD has diagonal AC and BD what is the area of the paralleogram

AC * BD = 96

2AC = BD = 48

I said (E), but if you take these together you get 3AC = 96 -> AC = 32, and 2AC = 64... typo?

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Re: Geometry DS   [#permalink] 13 Sep 2010, 07:15
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