document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198599>Question 198599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solving Problems with Quadratic Equations<BR>\n" );
document.write( "23. A photograph measures 20 cm by 16 cm. A strip of constant width is to be cut off the top and one side of the photo, so the area is reducedd to 60% of teh area of the original photo. Find the width of the cut. Include a diagram in your solution. <BR>\n" );
document.write( "Thanks###!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149116 by </B><A HREF=/tutors/aboutme.mpl?userid=arallie><B>arallie(162)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=arallie><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I don't know how to a diagram, sorry.  But I do have the solution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=20%2A16 ALIGN=MIDDLE  ALT=\"a%5B1%5D=20%2A16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D=.60a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B2%5D=.60a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is area of the uncut rectangle and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D ALIGN=MIDDLE  ALT=\"a%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the smaller one.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be the width cut from the initial rectangle.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D=%2820-x%29%2816-x%29 ALIGN=MIDDLE  ALT=\"a%5B2%5D=%2820-x%29%2816-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the new dimensions of the rectangle.<BR>\n" );
document.write( "Solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=20%2A16=320 ALIGN=MIDDLE  ALT=\"a%5B1%5D=20%2A16=320\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D=.60%28320%29=192 ALIGN=MIDDLE  ALT=\"a%5B2%5D=.60%28320%29=192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=192=%2820-x%29%2816-x%29 ALIGN=MIDDLE  ALT=\"192=%2820-x%29%2816-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-36x%2B320=192 ALIGN=MIDDLE  ALT=\"x%5E2-36x%2B320=192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-36x%2B128=0 ALIGN=MIDDLE  ALT=\"x%5E2-36x%2B128=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Quad From<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when a=1, b=-36, c=128<BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "Real solutions:<BR>\n" );
document.write( "Root 1: 4<BR>\n" );
document.write( "Root 2: 32\r<BR>\n" );
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document.write( "Since 32 is a bit to large to take away from 20 or 16, the answer is 4.<BR>\n" );
document.write( "4cm needs to be cut from each side.\r<BR>\n" );
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document.write( "Anymore questions feel free to ask me.<BR>\n" );
document.write( "Anthony Allie<BR>\n" );
document.write( "arallie@gmail.com<BR>\n" );
document.write( "http://arallie.webs.com/tutoring.htm<BR>\n" );
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