GRE Math : How to find the perimeter of a parallelogram

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #152 : Geometry

A quadrilateral has equal sides, each with a length of .

Quantity A: The area of the quadrilateral.

Quantity B: The perimeter of the quadrilateral.

Possible Answers:

The two quantities are equal.

Quantity B is greater.

The relationship cannot be determined.

Quantity A is greater.

Correct answer:

The relationship cannot be determined.

Explanation:

We are told that the shape is a quadrilateral and that the sides are equal; beyond that, we do not know what specific kind of kind of quadrilateral it is, outside of the fact that it is a rhombus. The perimeter, the sum of the sides, is .

If this shape were a square, the area would also be ; however, if the interior angles were not all equivalent, the area would be smaller than this.

The relationship cannot be determined.

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