document.write( "Question 1096213: pls. help me to answer: Two similar triangles have perimeters 100 cm and 75 cm. if the area of the smaller triangle is 20 sq.cm. find the area of the larger triangle. \n" ); document.write( "
Algebra.Com's Answer #710671 by Theo(13342)\"\" \"About 
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i believe the ratio of the sides will be 100/75 = 4/3.\r
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\n" ); document.write( "\n" ); document.write( "the ratio of the area should therefore be 4^2 / 3^2 = 16/9.\r
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\n" ); document.write( "\n" ); document.write( "if that's true, then the area of the larger triangle should be 20 * 16 / 9 = 35.56 rounded to 2 decimal places.\r
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\n" ); document.write( "\n" ); document.write( "i checked the web and found it to be true.\r
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\n" ); document.write( "\n" ); document.write( "here's a reference.\r
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\n" ); document.write( "\n" ); document.write( "https://www.cliffsnotes.com/study-guides/geometry/similarity/similar-triangles-perimeters-and-areas\r
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\n" ); document.write( "\n" ); document.write( "i checked this out with an example and it is proven to be correct.\r
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\n" ); document.write( "\n" ); document.write( "if the ratio of the perimeter is 4/3, then the ratio of the area is (4/3)^2 = 16/9.\r
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