document.write( "Question 710498: I have a piece of cardboard, twice as long as it is wide. I will cut 4x4 squares out of each corner, so I fold up the corners and use it as a tray. The volume of the tray will be 96 cubic inches. How large is the piece of cardboard? \n" ); document.write( "
Algebra.Com's Answer #437009 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I have a piece of cardboard, twice as long as it is wide. I will cut 4x4 squares out of each corner, so I fold up the corners and use it as a tray. The volume of the tray will be 96 cubic inches. How large is the piece of cardboard?
\n" ); document.write( "-----------------
\n" ); document.write( "length = 2x
\n" ); document.write( "width = x
\n" ); document.write( "-----
\n" ); document.write( "Volume = 4(2x-8)(x-8) = 96
\n" ); document.write( "2x^2 -24x + 64 = 24
\n" ); document.write( "-----
\n" ); document.write( "2x^2 -24x + 40 = 0
\n" ); document.write( "x^2 -12x + 20 = 0
\n" ); document.write( "----
\n" ); document.write( "Factor:
\n" ); document.write( "(x-10)(x-2) = 0
\n" ); document.write( "Usable answer:
\n" ); document.write( "x = 10 inches (width)
\n" ); document.write( "2x = 20 inches (length)
\n" ); document.write( "---
\n" ); document.write( "Size of the cardboard: 10*20 = 200 sq. inches
\n" ); document.write( "==============================================\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "================ \n" ); document.write( "
\n" );