# GMAT Question of the Day - Data Sufficiency - Geometry

Is the perimeter of parallelogram ABCD greater than 10?

(1) Sides AB and BC are in a ratio greater than 7 to 1

(2) The distance from A to C is 5

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## GMAT Question of the Day Solution:

(1) The sides being in a certain ratio doesn't tell us anything about the perimeter. AD could be 1000 and AB could be 7000 or AD could be .1 and AB could be .7. **Insufficient.**

(2) The diagonal is 5. Whenever there is a perimeter question dealing with triangles always think of the third side rule: The third side of a triangle must be greater than the difference and less than the sum of the other two sides. In this case AD + AB must be greater than 5. Same thing for DC + BC. So the perimeter must be greater than 10.** Sufficient.**