document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224248>Question 224248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the length of a rectangle is increased by 120% and its width is decreased by 20%, what is the resulting percentage increase or decrease in the area? Justify your answer algebraically. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167766 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the length of a rectangle is increased by 120% and its width is decreased by 20%, what is the resulting percentage increase or decrease in the area? Justify your answer algebraically.\r<BR>\n" );
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document.write( "Area of a rectangle = LW\r<BR>\n" );
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document.write( "If area is increased by 120%, then its new length is: 220% * L = 2.2L\r<BR>\n" );
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document.write( "Since its width is decreased by 20%, then its new width is: 80% * W = .8W\r<BR>\n" );
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document.write( "This makes its new area: 2.2L * .8W = 1.76LW\r<BR>\n" );
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document.write( "The difference in the original and new area is an increase of: 1.76 - 1, or .76 \r<BR>\n" );
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document.write( "Therefore, the increase in its area is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.76%2F1%29+%2A+100 ALIGN=MIDDLE  ALT=\"%28.76%2F1%29+%2A+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2876%29 ALIGN=MIDDLE  ALT=\"highlight_green%2876%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >% </SPAN>\n" );
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