document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177086>Question 177086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the two sides of a rectangle change so that the area remains constant,and one side is increased by 25%,what is the percentage increase or decrease of the other side. i think i am missing some steps please help thanx  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132123 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of the original rectangle is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large A = xy\\">\r<BR>\n" );
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document.write( "If you increase the size of side <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large x\\"> by 25%, then the new side is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 1.25x\\"> and in order for the area to remain the same, the other side of the rectangle has to be multiplied by some factor we can call <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large r\\">, making the new side <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large ry\\">.  So the area of the new rectangle is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large A = (1.25x)(ry)\">\r<BR>\n" );
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document.write( "But we are given that the two rectangles have the same area, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large xy = (1.25x)(ry)\\">\r<BR>\n" );
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document.write( "Divide both sides of this equation by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large xy\\"> and we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 1 = 1.25r \text{ }\Rightarrow\text{ } r = \frac{1}{1.25} = .8\\">\r<BR>\n" );
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document.write( "Which is to say that the other side is decreased by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 1 - 0.8 = 0.2 = 20%\"><BR>\n" );
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