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Need Help with Ratios of areas

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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Need Help with Ratios of areas

by virtuoso902 » Thu Nov 05, 2009 10:44 am
Are all ratios of areas of like shapes such as circle to circle or trapezoid to trapezoid the ratio of the square of corresponding lengths?

I know this holds true for rectangles and circles but what other shapes does it apply to?
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Re: Need Help with Ratios of areas

by mridul_dave » Sun Nov 15, 2009 9:58 am
virtuoso902 wrote:Are all ratios of areas of like shapes such as circle to circle or trapezoid to trapezoid the ratio of the square of corresponding lengths?

I know this holds true for rectangles and circles but what other shapes does it apply to?

Circle and Square - Always true.
Triangle, rectangle and any other shape - true only ifall sides are of same proportion - like simillar triangles.
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