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# Is the perimeter of parallelogram ABCD greater than 23?

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Math Expert
Joined: 02 Sep 2009
Posts: 52971
Is the perimeter of parallelogram ABCD greater than 23?  [#permalink]

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06 Sep 2018, 23:40
00:00

Difficulty:

35% (medium)

Question Stats:

86% (01:21) correct 14% (01:40) wrong based on 15 sessions

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Is the perimeter of parallelogram ABCD greater than 23?

(1) The area of the parallelogram is 35 and the base has a length of 7.
(2) The area of the parallelogram is 35 and the height has a length of 5.

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Re: Is the perimeter of parallelogram ABCD greater than 23?  [#permalink]

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07 Sep 2018, 00:42
Bunuel wrote:
Is the perimeter of parallelogram ABCD greater than 23?

(1) The area of the parallelogram is 35 and the base has a length of 7.
(2) The area of the parallelogram is 35 and the height has a length of 5.

Question: Is the perimeter of parallelogram ABCD greater than 23?

Statement 1: The area of the parallelogram is 35 and the base has a length of 7.

Base = 7 and Area = Base*Height = 35
i.e. Height = 5

i.e./ Minimum perimeter of parallelogram (when it's rectangle = 2*(7+5) = 24 hence Perimeter of parallelogram is definitely greater than 23 hence
SUFFICIENT

Statement 2: The area of the parallelogram is 35 and the height has a length of 5

Height = 5 and Area = Base*Height = 35
i.e. Base = 5

i.e./ Minimum perimeter of parallelogram (when it's rectangle = 2*(7+5) = 24 hence Perimeter of parallelogram is definitely greater than 23 hence
SUFFICIENT

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Re: Is the perimeter of parallelogram ABCD greater than 23?   [#permalink] 07 Sep 2018, 00:42
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