document.write( "Question 99878: A rectangular piece of sheet metal is 2 inches longer than it is wide. Squares measuring 4 inches on a side are cut from each corner and the sides are folded to form a box. If the volume of the box is 32 cubic inches, what are the dimensions of the sheet metal? \n" ); document.write( "
Algebra.Com's Answer #72810 by checkley71(8403)\"\" \"About 
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THE HEIGHT OF THIS BOX IS 4 INCHES.
\n" ); document.write( "THE LENGTH IS W+2
\n" ); document.write( "THEREFORE THE VOLUME IS:
\n" ); document.write( "4*W(W+2)=32
\n" ); document.write( "4W^2+8W=32
\n" ); document.write( "4W^2+8W-32=0 FACTOR OUT 4
\n" ); document.write( "4(W^2+2W-8)=0
\n" ); document.write( "(W+4)(W-2)=0
\n" ); document.write( "W-2=0
\n" ); document.write( "W=2 ANSWER FOR THE WIDTH
\n" ); document.write( "L=2+2=4 FOR THE LENGTH.
\n" ); document.write( "PROOF
\n" ); document.write( "4*2*4=32
\n" ); document.write( "32=32 \r
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