document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437852>Question 437852</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the opposite sides of a square are increased by 12 inches and the other two sides are decreased by 4 inches, a rectangle is formed having the same area. What are the dimensions of each polygon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302877 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x inches the side of square. If we increase the side by 12 it becomes: x+12<BR>\n" );
document.write( "If we decrease the side by 4 it becomes: x-4 inches.\r<BR>\n" );
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document.write( "The area of square was:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The area of rectangle will be:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B12%29%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x%2B12%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the rectangle and square have the same area, we write the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=%28x%2B12%29%28x-4%29 ALIGN=MIDDLE  ALT=\"x%5E2=%28x%2B12%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, solve this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=x%5E2%2B8x-48 ALIGN=MIDDLE  ALT=\"x%5E2=x%5E2%2B8x-48\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x=48 ALIGN=MIDDLE  ALT=\"8x=48\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Answer:The side of square is 6 inches while the dimensions of rectangle are:\r<BR>\n" );
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document.write( "The length: 6+12=18 inches and the width: 6-4=2 inches. </SPAN>\n" );
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