document.write( "Question 257215: Polynomials - difference of two squares\r
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document.write( "The sum of the areas of two squares is 234 square inches. Each side of the larger square is five times the length of a side of the smaller square. Find the length of a side of each square. \n" );
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Algebra.Com's Answer #189138 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of the areas of two squares is 234 square inches. \n" ); document.write( " Each side of the larger square is five times the length of a side of the smaller square. \n" ); document.write( " Find the length of a side of each square. \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: (sides of two squares, x & y) \n" ); document.write( ": \n" ); document.write( "\"The sum of the areas of two squares is 234 square inches.\" \n" ); document.write( "x^2 + y^2 = 234 \n" ); document.write( ": \n" ); document.write( "\"Each side of the larger square is five times the length of a side of the smaller square.\" \n" ); document.write( "x = 5y \n" ); document.write( ": \n" ); document.write( "In the 1st equation, replace x with 5y \n" ); document.write( "(5y)^2 + y^2 = 234 \n" ); document.write( "25y^2 + y^2 = 234 \n" ); document.write( "26y^2 = 234 \n" ); document.write( "y^2 = \n" ); document.write( "y^2 = 9 \n" ); document.write( "y = 3\" side of the smaller square \n" ); document.write( "then \n" ); document.write( "x = 5(3) = 15\" side of the larger square \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: 15^2 + 3^2 = 234\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |