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What is the area of parallelogram ABCD ?

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Re: What is the area of parallelogram ABCD ? [#permalink]

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New post 09 Sep 2015, 03:09
earnit wrote:
Bunuel wrote:
tkarthi4u wrote:
What is the area of parallelogram ABCD ?
1) AB = BC = CD = DA = 1
2) AC = BD = (2^1/2)

[Reveal] Spoiler:
C


(1) Says that ABCD is a rhombus. Area of rhombus d1*d2/2 (d1 and d2 are the lengths of the diagonals) or b*h (b is the length of the base, h is the altitude (height).) Insufficient

(2) Says that ABCD is a rectangle. Area of a rectangle L*W (length*width) Insufficient.

(1)+(2) ABCD is rectangle and rhombus --> ABCD is square --> Area=1^2=1 or (2^1/2)*(2^1/2)/2=1

Answer: C.



I would really appreciate if a fault in my logic is pointed out.

Statement 1: ABCD is either a square or a rhombus, so different areas. Insufficient.

Statement 2: ABCD is a parallelogram with equal diagonals, so cannot be a rhombus. Possibly a rectangle or a square. Insufficient.

1+2. It must be a square.

Answer C

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Re: What is the area of parallelogram ABCD ? [#permalink]

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New post 07 Sep 2017, 21:24
tkarthi4u wrote:
What is the area of parallelogram ABCD ?

(1) AB = BC = CD = DA = 1
(2) AC = BD = (2^1/2)


Statement 1

Knowing just the side lengths of a parallelogram does not allow us to find the area. There are two scenarios, the parallelogram could be a rhombus or more specifically a square. If the shape were a square, then we would be able to find the area of ABCD. If the shape is a just a rhombus in general then we cannot find the length of the diagonal of the rhombus.

Statement 2

Knowing the lengths of the diagonals is not sufficient either as ABCD could be a recentagle.

C

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Re: What is the area of parallelogram ABCD ? [#permalink]

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New post 08 Sep 2017, 21:12
Statement A alone is also sufficient: If we go by hero's formula = sq rt*(s-a)(s-b)(s-c)(s-d)... But B alone is not sufficient..

Plz help!!

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Re: What is the area of parallelogram ABCD ? [#permalink]

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New post 08 Sep 2017, 22:13

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Re: What is the area of parallelogram ABCD ?   [#permalink] 08 Sep 2017, 22:13

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