document.write( "Question 883022: Sally wants to put a border around a 4x6 inch picture. She would like the border to be twice the
\n" ); document.write( "area of the picture. What is the border width should Sally use (in inches)?
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Algebra.Com's Answer #533259 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The area of the picture is \"+4%2A6+=+24+\" in2
\n" ); document.write( "Let \"+w+\" = the width of the border
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\n" ); document.write( "Note that \"+2w+\" gets added to each
\n" ); document.write( "dimension when you add the border
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\n" ); document.write( "The area of the picture plus the border is:
\n" ); document.write( "\"+%28+4+%2B+2w+%29%2A%28+6+%2B+2w+%29+=+24+%2B+20w+%2B+4w%5E2+\"
\n" ); document.write( "The area of the border is:
\n" ); document.write( "\"+%28+24+%2B+20w+%2B+4w%5E2+%29+-+24+=+4w%5E2+%2B+20w+\"
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\n" ); document.write( "Sally wants the area of the border to be
\n" ); document.write( "\"+2%2A4%2A6+=+48+\" in2
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\n" ); document.write( "\"+4w%5E2+%2B+20w+=+48+\"
\n" ); document.write( "Divide both sides by \"+4+\"
\n" ); document.write( "\"+w%5E2+%2B+5w+=+12+\"
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\n" ); document.write( "You can complete the square:
\n" ); document.write( "\"+w%5E2+%2B+5w+%2B+%285%2F2%29%5E2+=+12+%2B+%285%2F2%29%5E2+\"
\n" ); document.write( "\"+w%5E2+%2B+5w+%2B+25%2F4++=+48%2F4+%2B+25%2F4+\"
\n" ); document.write( "\"+%28+w+%2B+5%2F2+%29%5E2+=+73%2F4+\"
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( "\"+w+%2B+5%2F2+=+sqrt%2873%29+%2F+2+\"
\n" ); document.write( "\"+w+=+%28+sqrt%2873%29+-+5+%29+%2F+2+\"
\n" ); document.write( "\"+w+=+%28+8.544+-+5+%29+%2F+2+\"
\n" ); document.write( "\"+w+=+3.544%2F2+\"
\n" ); document.write( "\"+w+=+1.772+\"
\n" ); document.write( "The border width should be 1.772 in
\n" ); document.write( "check:
\n" ); document.write( "\"+%28+4+%2B+2w+%29%2A%28+6+%2B+2w+%29+-+24+=+2%2A4%2A6+\"
\n" ); document.write( "\"+%28+4+%2B+2w+%29%2A%28+6+%2B+2w+%29+-+24+=+48+\"
\n" ); document.write( "\"+%28+4+%2B+3.544+%29%2A%28+6+%2B+3.544+%29+-+24+=+48+\"
\n" ); document.write( "\"+7.544%2A9.544+=+72+\"
\n" ); document.write( "\"+71.9999+=+72+\"
\n" ); document.write( "close enough
\n" ); document.write( "Hope I got it\r
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