document.write( "Question 1036212: ∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measures 40 units.\r
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\n" ); document.write( "\n" ); document.write( "The length of the longest side of ∆ABC is 2 4 16 30 units. The ratio of the area of ∆ABC to the area of ∆DEF is 1 : 1 1 : 2 1 : 10 1 : 100 . \n" ); document.write( "

Algebra.Com's Answer #650911 by Theo(13342) $\"\"$ $\"About$

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the ratio of the perimeter is equal to 1/10, therefore the ratio of each of the corresponding sides is 1/10.\r
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\n" ); document.write( "\n" ); document.write( "if the longest side in triangle DEF is 40, then the longest side in triangle ABC is 4, because 40 is 10 * 4.\r
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\n" ); document.write( "\n" ); document.write( "the ratio of the area of the similar triangles is equal to the ratio of each of the corresponding sides squared.\r
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\n" ); document.write( "\n" ); document.write( "(1/10)^2 = 1/100.\r
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\n" ); document.write( "\n" ); document.write( "the ratio of the area of these 2 similar triangles is 1/100.\r
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