document.write( "Question 1056006: The area of a rectangular piece of cardboard is 1008 cm^2. If you cut a 4 cm square from each corner of the rectangular piece of cardboard and turn up the sides then an open box is formed whose volume is 2240 cm^3. Find the dimensions of the rectangular piece of cardboard and the dimensions of the open box. \n" ); document.write( "
Algebra.Com's Answer #671173 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Identical to #1056003\r
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\n" ); document.write( "\n" ); document.write( "x and y are the uncut, unfolded cardboard dimensions.\r
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\n" ); document.write( "\n" ); document.write( "Cutting out the square shaped corners of 4cm sides and folding produces a base area of (x-2*4) and (y-2*4) and this base area is \"%28x-8%29%28y-8%29\". You are given in description that \"xy=1008\".\r
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\n" ); document.write( "\n" ); document.write( "Also is given the volume of the resulting rectangular box, of last dimension 4.\r
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\n" ); document.write( "\n" ); document.write( "Volume is \"4%28x-8%29%28y-8%29=2240\".\r
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\n" ); document.write( "\n" ); document.write( "Solve this system for x and y.
\n" ); document.write( "\"system%284%28x-8%29%28y-8%29=2240%2Cxy=1008%29\"
\n" ); document.write( "which is equivalent to more simplified system of
\n" ); document.write( "\"system%28%28x-8%29%28y-8%29=560%2Cxy=1008%29\".
\n" ); document.write( "If you are able to handle the algebra steps from here, then you can finish.
\n" ); document.write( "SOLVE THE NONLINEAR SYSTEM.
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