document.write( "Question 782693: a piece of tin, 12 inches on a side, is to have four equal squares cut from its corners, as in the illustration. if the edges are then to be folded up to make a box with a floor area of 64 square inches,mfind the depth of the box \n" ); document.write( "
Algebra.Com's Answer #476496 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let x be the side of square cut\r \n" ); document.write( "\n" ); document.write( "then side length = \n" ); document.write( "12-2x\r \n" ); document.write( "\n" ); document.write( "(12-2x)^2=64\r \n" ); document.write( "\n" ); document.write( "144-48x+4x^2=64\r \n" ); document.write( "\n" ); document.write( "4x^2-48x+80=0\r \n" ); document.write( "\n" ); document.write( "/4 \n" ); document.write( "x^2-12x+20=0 \n" ); document.write( "x^2-10x-2x+20=0 \n" ); document.write( "x(x-10)-2(x-10)=0 \n" ); document.write( "(x-10)(x-2)=0 \n" ); document.write( "x= 10 OR 2\r \n" ); document.write( "\n" ); document.write( "x cannot be 10 \n" ); document.write( "so depth of box = 2inches\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |