document.write( "Question 1138605: A rectangular sheet of tin is 15cm long and 9cm wide. A uniform strip is to be cut off around the sheet. The examining area is 112cm squared. Calculate the width of the strip. The answer is 0.5 cm.\r
\n" );
document.write( "\n" );
document.write( "What I have got so far: At - As = 112
\n" );
document.write( "At = 135\r
\n" );
document.write( "\n" );
document.write( "135 - As = 112
\n" );
document.write( "23 = As\r
\n" );
document.write( "\n" );
document.write( "23 = (15-2x) (9-2x)
\n" );
document.write( "4x^2 - 12x + 28
\n" );
document.write( "4(x^2 -12x +28)
\n" );
document.write( "x=14 \n" );
document.write( "
Algebra.Com's Answer #756405 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rectangular sheet of tin is 15cm long and 9cm wide. A uniform strip is to be cut off around the sheet. The examining area is 112cm squared. Calculate the width of the strip. The answer is 0.5 cm. \n" ); document.write( "What I have got so far: At - As = 112 \n" ); document.write( "At = 135 \n" ); document.write( "135 - As = 112 \n" ); document.write( "I have corrected as follows \n" ); document.write( "112 = (15-2x) (9-2x) \n" ); document.write( "4x^2 - 30x - 18x + 135 = 112 \n" ); document.write( "4x^2 - 48x + 135 - 112 = 0 \n" ); document.write( "4x^2 - 48x + 23 = 0 \n" ); document.write( "Two solutions, found by the quadratic equation a=4; b=-48, c=23 \n" ); document.write( "x=11.5 \n" ); document.write( "and the more reasonable solution is \n" ); document.write( "x=.5 cm \n" ); document.write( " \n" ); document.write( " |