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SMO 2009 Junior Round 1 Question 11

SMO · SMO 2009 Junior Round 1

Question 11

Two models of LCD television are on sale: a “20 inch” standard model and a “20 inch” widescreen model. The ratio of screen length to height is $4:3$ for the standard model and $16:9$ for the widescreen model. Screen size is measured by the diagonal, so both have diagonal $20$ inches. If the ratio of the standard screen area to the widescreen area is $A:300$, find $A$.