document.write( "Question 1111156: I really would appreciate your help understanding problems like the one below:\r
\n" ); document.write( "\n" ); document.write( "Marie Mulroney has a rectangular board 12 inches by 16 inches around which she wants to put a uniform border of shells. If she had enough shells for a border whose area is 128 square inches, determine the width of the border.
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Algebra.Com's Answer #726170 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
There is a border on both sides of the 12 in
\n" ); document.write( "side, so that each side is \"+12+%2B+2x+\" in long
\n" ); document.write( "Also, there is a border on each side of the
\n" ); document.write( "16 in side, so this side is \"+16+%2B+2x+\" in long
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\n" ); document.write( "Add up the inside area and the ares of the border.
\n" ); document.write( "\"+12%2A16+%2B+128+=+192+%2B+128+\"
\n" ); document.write( "\"+192+%2B+128+=+320+\" in2
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\n" ); document.write( "Now I can say:
\n" ); document.write( "\"+%28+12+%2B+2x+%29%2A%28+16+%2B+2x+%29+=+320+\"
\n" ); document.write( "\"+192+%2B+32x+%2B+24x+%2B+4x%5E2+=+320+\"
\n" ); document.write( "\"+4x%5E2+%2B+56x+-+128+=+0+\"
\n" ); document.write( "\"+x%5E2+%2B+14x+-+32+=+0+\"
\n" ); document.write( "\"+%28+x+%2B+16+%29%2A%28+x+-+2+%29+=+0+\" ( by observation )
\n" ); document.write( "\"+x+=+2+\" ( can only use the positve result )
\n" ); document.write( "The width of the border is 2 in
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\n" ); document.write( "check:
\n" ); document.write( "\"+%28+12+%2B+2%2A2+%29%2A%28+16+%2B+2%2A2+%29+=+320+\"
\n" ); document.write( "\"+16%2A20+=+320+\"
\n" ); document.write( "\"+320+=+320+\"
\n" ); document.write( "OK
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