document.write( "Question 1191231: A square with a side length of 2s has a
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document.write( "smaller square inscribed. The vertices of the
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document.write( "smaller square are at the midpoints of the
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document.write( "sides of the larger square.
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document.write( "What is the ratio of the area of the larger square to the area of
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document.write( "the smaller square? Express your answer in
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document.write( "its simplest form \n" );
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Algebra.Com's Answer #823035 by ikleyn(52787)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Connect the opposite vertices of the small square by its diagonals.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The diagonals and the sides of the small square will divide the large square in 8 congruent triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From this sketch, without writing any equations, you may conclude that the area of the smaller square\r \n" ); document.write( "\n" ); document.write( "is half the area of the larger square.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |