document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=640394>Question 640394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> good day! please help me with this word problem. thank you!\r<BR>\n" );
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document.write( "The height of a painting is 16 inches greater than the width and the area of the painting is 720 square inches. Can it be hung in a 2 feet by 4 feet wall space? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403173 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=403173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To answer this question, you'll need to find the height and width of the painting. Let h = the height and w = the width:<BR>\n" );
document.write( "The area of the rectangular painting is expressed by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+h%2Aw ALIGN=MIDDLE  ALT=\"A+=+h%2Aw\"   DISABLED_style= \"max-width:90%; height:auto;\" > but h = w+16 and A = 720, so making the appropriate substitutions, you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=720+=+%28w%2B16%29%2Aw ALIGN=MIDDLE  ALT=\"720+=+%28w%2B16%29%2Aw\"   DISABLED_style= \"max-width:90%; height:auto;\" > which, after some rearranging looks like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B16w-720+=+0 ALIGN=MIDDLE  ALT=\"w%5E2%2B16w-720+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Do you see how we get this? Now you can factor this quadratic:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w-20%29%28w%2B36%29+=+0 ALIGN=MIDDLE  ALT=\"%28w-20%29%28w%2B36%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+20 ALIGN=MIDDLE  ALT=\"w+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+-36 ALIGN=MIDDLE  ALT=\"w+=+-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the negative solution as the width must be a positive quantity.<BR>\n" );
document.write( "So the width is 20 inches and the height is 36 (20+16) inches.<BR>\n" );
document.write( "Convert to feet:<BR>\n" );
document.write( "Width = 1ft 8in.<BR>\n" );
document.write( "Height = 3 ft.<BR>\n" );
document.write( "So you can see that the painting will fit in the allocated space. </SPAN>\n" );
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