document.write( "Question 1015241: The perimeters of two similar triangles is in the ratio 3:4. The sum of their area is 75cm^2. Find the area of each triangle. \n" ); document.write( "
Algebra.Com's Answer #631615 by ikleyn(52778)\"\" \"About 
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\n" ); document.write( "The perimeters of two similar triangles is in the ratio 3:4. The sum of their area is 75cm^2. Find the area of each triangle.
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document.write( "If the perimeters' ratio is 3:4, then the areas' ratio is 9:16 (the triangles are similar !).\r\n" );
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document.write( "Since S1 + S2 = 75 \"cm%5E2\" and \"S1%2FS2\" = \"9%2F16\", then\r\n" );
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document.write( "S1 = \"75%2A%289%2F%289%2B16%29%29\" = \"%2875%2A9%29%2F25\" = 3*9 = 27 \"cm%5E2\" and \r\n" );
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document.write( "S2 = \"75%2A%2816%2F%289%2B16%29%29\" = \"%2875%2A16%29%2F25\" = 3*16 = 48 \"cm%5E2\".\r\n" );
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