document.write( "Question 1207438: A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width,and 3 centimeters in thickness.Due to escalating costs of cocoa,management decides to reduce the volume of the bar by 10%.To accomplish this reduction, management decides that the new bar should have the same 3 centimeter thickness,but the length and width of each should be reduced an equal number of centimeters. What should be the dimensions of the new candy bar?\r
\n" ); document.write( "\n" ); document.write( "I need help with this one. Too many words and numbers throw me into a loop. \n" ); document.write( "

Algebra.Com's Answer #845279 by ikleyn(52909) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "It should be clear that the goal is to reduce the area 12*7 = 84 cm^2 by 10%\r\n" );
document.write( "by reducing the length of 12 cm to 12-x cm and reducing the width of 7 cm to 7-x cm.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It gives you an equation for the new area\r\n" );
document.write( "\r\n" );
document.write( "    (12-x)*(7-x) = 0.9*84  cm^2,\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "    (12-x)*(7-x) = 75.6  cm^2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and reduce this equation to the standard queadratic equation form\r\n" );
document.write( "\r\n" );
document.write( "    84 - 7x - 12x + x^2 = 78.6\r\n" );
document.write( "\r\n" );
document.write( "    x^2 - 19x + 5.6 = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve using the quadratic formula\r\n" );
document.write( "\r\n" );
document.write( "     =  =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus, one root is   =  = 18.70 cm.\r\n" );
document.write( "\r\n" );
document.write( "The other root is   =  = 0.299 cm  (rounded).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Obviously, the first root is toooooo big value; so, we deny it.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check the other root.  The new area is\r\n" );
document.write( "\r\n" );
document.write( "    (12-0.299)*(7-0.299) = 78.41,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "which is close to 78.4 = 0.9*84.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, our solution is 0.299 cm.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The new dimensions are  12-0.399 = 11.601 cm (the length) and  7-0.399 = 6.601 cm (the width).    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved, with complete explanations.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );