What is the perimeter of parallelogram WXYZ? (1) The area of the par

Question

What is the perimeter of parallelogram WXYZ?
 
(1) The area of the parallelogram is 35 and the base is 7.
(2) WX + XY is 12.

GMATinsight · Answer

Question  : What is the perimeter of parallelogram WXYZ?

Statement 1 : The area of the parallelogram is 35 and the base is 7. 
i.e. base is 7 and height is 5 (Base*Height=35)
but with same height and base many parallelogram can be formed with inclined sides of multiple lengths hence
NOT SUFFICIENT

Statement 2 : WX + XY is 12

Sum of two adjacent sides = 12
i.e. sum of all four sides = 2*12 = 24
SUFFICIENT

Answer: option B

stutim96 · Answer

Bunuel   MathRevolution   EMPOWERgmatRichC

Why is the answer not D?
With base = 7 and area = 35, the height of the parallelogram should be 5;
We can use this information to get the other side of parallelogram then why is the answer not D?

chetan2u · Answer

We require sum of the two adjacent sides.

(1) The area of the parallelogram is 35 and the base is 7.
So height is 5, but the second side could be anything. 
See the attached figure. All 3 parallelogram have area 35, as height is 5 in each case.
We can have infinite solutions 
Insufficient

(2) WX + XY is 12
Sum of adjacent sides is 12, so perimeter =2*12=24
Sufficient

B

EMPOWERgmatRichC · Answer

Hi stutim96,

chetan2u has provided a helpful picture that can help clarify what you are asking about. With a parallelogram, there are two pairs of opposite sides - and each matching pair is parallel and the same length. With Fact 1 in this question, the sides of the parallelogram COULD be 7 and 5 (if we're actually dealing with a rectangle)... but if it's any other parallelogram besides a rectangle, then we have two sides with lengths of 7 and two sides of some length OTHER than 5. 
 
GMAT assassins aren't born, they're made,
Rich

What is the perimeter of parallelogram WXYZ? (1) The area of the par

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