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33. Column A Column B   The area of parallelogram ABCD ... ...

Column A Column B
The area of parallelogram ABCD 15

 


(A) Column A is larger
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set G: Quantitative Comparisons

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33. Column A Column B   The area of parallelogram ABCD ... ... 
Posted: 06/22/2013 11:01
Could you unpack this answer in a little more detail? Visually the answer makes sense but I'm not following the formula you would use to come to that conclusion.
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Posted: 06/23/2013 00:51
Sam, the area of a rectangle is simply the product of the length and width, which in this case is 15. The question is, if we make the rectangle a parallelogram, by tilting it at an angle, does it make the area larger or smaller? Remember a rectangle is nothing but a right-angled parallelogram.

The explanation says that the quickest way to find out is by making the angle extreme, eg, 10 degrees. Thus we find that a parallelogram with same width and length will always have areas less than a rectangle or a right angled parallelogram.
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