What is the perimeter of quadrilateral \(Q?\)
(1) \(Q\) is a rectangle.
(2) The area of \(Q\) is \(25.\)
Answer: E
Source: Princeton Review
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What is the perimeter of quadrilateral \(Q?\)
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Target question: What is the perimeter of quadrilateral Q?
If we recognize that each statement alone is not sufficient, we can jump straight to......
Statements 1 and 2 combined
There are several quadrilaterals satisfy BOTH statements. Here are two:
Case a: Q is a rectangle with width 1 and length 25. In this case, the perimeter of quadrilateral Q is 1 + 1 + 25 + 25 = 52
Case b: Q is a rectangle with width 5 and length 5. In this case, the perimeter of quadrilateral Q is 5 + 5 + 5 + 5 = 20
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
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