document.write( "Question 184561This question is from textbook Algebra and trigonometry structure and method
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document.write( ": If one side of a square is increased by 8 cm and an adjacent side decreased by 2 cm, a rectangle is formed whose perimeter is 40 cm. Find the length of a side of the square \n" );
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Algebra.Com's Answer #138907 by J2R2R(94)![]() ![]() You can put this solution on YOUR website! Let x be the side of the square.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The new rectangle has sides x + 8 (twice) and x – 2 (twice).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore the perimeter = 2(x + 8) + 2(x – 2) = 4x + 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now 4x + 12 = 40; therefore 4x = 28; x = 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The length of a side of the square is 7 cm. \n" ); document.write( " \n" ); document.write( " |