document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106090>Question 1106090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a homeowner painted her bathroom. she has a mirror that is 30 inches high and 20 inches wide. she decides to decrease both mirror dimensions by the same amount, and she will now have to paint the newly exposed wall. she only has enough paint to cover 225 square inches.<BR>\n" );
document.write( "part a says calculate the new area of the mirror<BR>\n" );
document.write( "part b says write and solve an equation to find out she should decrease each dimension<BR>\n" );
document.write( "i dont understand how to do this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721021 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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/cgi-bin/show-face.mpl?user=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)  Original area is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30in+%2A+20in+=+600in%5E2+ ALIGN=MIDDLE  ALT=\"+30in+%2A+20in+=+600in%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Reduce each side by x:<BR>\n" );
document.write( "New area is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2830-x%29%2820-x%29+=+600+-+50x+%2B+x%5E2+ ALIGN=MIDDLE  ALT=\"+%2830-x%29%2820-x%29+=+600+-+50x+%2B+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Since we haven't found a value for x yet, that is as far as the new area can be taken (after solving part (b), you can take the value and plug it in to the equation above to get the new area as a numerical value).\r<BR>\n" );
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document.write( "b)  Assuming the homeowner wants to reduce the area enough to use exactly all 225 sq in of paint:<BR>\n" );
document.write( "       orig area - new area = 225:<BR>\n" );
document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++600+-+%28600+-+50x+%2B+x%5E2%29+=+225+ ALIGN=MIDDLE  ALT=\"++600+-+%28600+-+50x+%2B+x%5E2%29+=+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++50x+-+x%5E2+=+225+ ALIGN=MIDDLE  ALT=\"++50x+-+x%5E2+=+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++-x%5E2+%2B+50x+-+225+=+0+ ALIGN=MIDDLE  ALT=\"++-x%5E2+%2B+50x+-+225+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++x%5E2+-+50x+%2B+225+=+0+ ALIGN=MIDDLE  ALT=\"++x%5E2+-+50x+%2B+225+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28x-45%29%28x-5%29+=+0+ ALIGN=MIDDLE  ALT=\"++%28x-45%29%28x-5%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = 45  and/or x = 5<BR>\n" );
document.write( "Discard x=45 because the original sides are 20 and 30 and 45 is greater than at least one of these so it doesn't make sense.\r<BR>\n" );
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document.write( "x = 5 —>  reduce each dimension by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%285in%29+ ALIGN=MIDDLE  ALT=\"+highlight%285in%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Back to part (a):<BR>\n" );
document.write( " The  new area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+600-50%285%29%2B%285%29%5E2+=+highlight%28375in%5E2%29+ ALIGN=MIDDLE  ALT=\"+600-50%285%29%2B%285%29%5E2+=+highlight%28375in%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "=========<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "The new dimensions are (20-5) by (30-5) or  15in by 25in:<BR>\n" );
document.write( "New area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15in%2A25in+=+375in%5E2+ ALIGN=MIDDLE  ALT=\"+15in%2A25in+=+375in%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (ok)<BR>\n" );
document.write( "         </SPAN>\n" );
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