Geometry DS

[Bhupisuhag]

Please help with this question.

What is the area of parallelogram ABCD

1. AB = BC = CD = DA = 1
2. AC = BD = \sqrt{2}



* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

[neelgandham]

What is the area of parallelogram ABCD

1. AB = BC = CD = DA = 1

The resultant parallelogram can be a Square(where the area is 1 square units) or a Rhombus(Where the area depends on the angle between the sides)

2. AC = BD = sqrt{2}

The resultant parallelogram can be a Square(where the area is 1 square units) or a Rectangle(Where the area depends on the length of sides)

Statement 1 and 2

The resultant parallelogram is a Square with an area of 1 square units