document.write( "Question 980212: Volume of a rectangular box is 48 cu units. Find the width and length of the box. The length is x+2, width is x, height is 2 \n" ); document.write( "
Algebra.Com's Answer #601405 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Volume of a rectangular box \n" ); document.write( "= length x width x height \n" ); document.write( " 48 = (x + 2) x (x) x (2) \n" ); document.write( " 48 = 2x^2 + 4x \n" ); document.write( "2x^2 + 4x - 48 + 0 \n" ); document.write( "Divide throughout by 2 \n" ); document.write( "x^2 + 2x - 24 = 0 \n" ); document.write( "Factorise \n" ); document.write( "(x - 4)(x + 6) = 0 \n" ); document.write( "x + 6 = 0 \n" ); document.write( "x = -6 (no answer as -ve) \n" ); document.write( "x - 4 = 0 \n" ); document.write( "x = 4. \n" ); document.write( "Therefore: \n" ); document.write( "Width = 4 units \n" ); document.write( "Length = 6 units \n" ); document.write( "Hope this helps:-) \n" ); document.write( " |