document.write( "Question 200551This question is from textbook Intermediate Algebra An Applied Approach
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document.write( ": The state of Colorado is almost perfectly rectangular, with its north border 111 mi longer than its west border. If the state encompasses 104,000 mi^2, estimate the dimensions of Colorado. Round to the nearest mile. \n" );
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Algebra.Com's Answer #150825 by RAY100(1637) ![]() You can put this solution on YOUR website! Area = Length * Width \n" ); document.write( ". \n" ); document.write( "104,000 = (w+111) * (w)= w^2 +111w \n" ); document.write( ". \n" ); document.write( "w^2 +111w -104,000 =0 \n" ); document.write( ". \n" ); document.write( "Use quadratic eqn to solve \n" ); document.write( ". \n" ); document.write( "a=(1),,,,b=(111),,,,,c= (-104,000) \n" ); document.write( ". \n" ); document.write( "w= [ -(111) +/- sqrt { (111)^2 - 4 (1) (-104,000) } ] / 2 (1) \n" ); document.write( ". \n" ); document.write( "w = [-111 +/- sqrt 428,321 ] /2 \n" ); document.write( ". \n" ); document.write( "w = [-111 +/- 654.642 ] /2 \n" ); document.write( ". \n" ); document.write( "w= 271.73 ,,,,,or - 382.73 ( not realistic) \n" ); document.write( ". \n" ); document.write( "Dimensions are ,,,w= 271.73,,,and L= 271.73 +111 = 382.73 \n" ); document.write( ". \n" ); document.write( "check,,,A= 271.73 * 382.73 = 104,000,,,ok \n" ); document.write( " |