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What is the perimeter of quadrilateral Q?

This topic has 1 expert reply and 0 member replies

What is the perimeter of quadrilateral Q?

Post Fri Feb 09, 2018 4:17 pm
What is the perimeter of quadrilateral Q?

(1) Q is a rectangle.
(2) The area of Q is 25.

What's the best way to determine whether statement 1 is sufficient?

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GMAT/MBA Expert

Post Fri Feb 09, 2018 4:21 pm
ardz24 wrote:
What is the perimeter of quadrilateral Q?

(1) Q is a rectangle.
(2) The area of Q is 25.

What's the best way to determine whether statement 1 is sufficient?
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

Cheers,
Brent

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