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Example Question #1341 : Gre Quantitative Reasoning
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:
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined.
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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