document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932584>Question 932584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square has an area of 256 cm^2. If the same amount is removed from one dimension and added to the other, the resulting rectangle has an area 16 cm^2 less. Find the dimensions of the rectangle. </SPAN>\n" );
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document.write( "given: <BR>\n" );
document.write( " area of a square is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256cm%5E2 ALIGN=MIDDLE  ALT=\"256cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's represent each side as \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\". <BR>\n" );
document.write( "Let's represent the amount added and subtracted as \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\".<BR>\n" );
document.write( "if amount is removed from one dimension and added to the other, one side of rectangle will be:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y ALIGN=MIDDLE  ALT=\"x-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and other side will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By ALIGN=MIDDLE  ALT=\"x%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then the measure of the side of square is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28256cm%5E2%29=+16cm ALIGN=MIDDLE  ALT=\"sqrt%28256cm%5E2%29=+16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or the square is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16cm ALIGN=MIDDLE  ALT=\"16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16cm ALIGN=MIDDLE  ALT=\"16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equation that can be set up is:\r<BR>\n" );
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document.write( "the area of a square is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=x%5E2=256cm%5E2 ALIGN=MIDDLE  ALT=\"A=x%5E2=256cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the area of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Br%5D=%28x-y%29%28x%2By%29 ALIGN=MIDDLE  ALT=\"A%5Br%5D=%28x-y%29%28x%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since the resulting rectangle has an area <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16cm%5E2 ALIGN=MIDDLE  ALT=\"16cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > less, we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16cm%5E2+=%28x%2By%29%28x-y%29+ ALIGN=MIDDLE  ALT=\"x%5E2-16cm%5E2+=%28x%2By%29%28x-y%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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%5E2-16cm%5E2+=x%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-16cm%5E2+=x%5E2-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...............the <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;\" > cancels out leaving us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16cm%5E2+=-y%5E2 ALIGN=MIDDLE  ALT=\"-16cm%5E2+=-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   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=16cm%5E2+=y%5E2 ALIGN=MIDDLE  ALT=\"16cm%5E2+=y%5E2\"   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=y=4cm ALIGN=MIDDLE  ALT=\"y=4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, the length of the rectangle is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=16cm%2B4cm=20cm ALIGN=MIDDLE  ALT=\"x%2By=16cm%2B4cm=20cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "the width of the rectangle is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=16cm-4cm=12cm ALIGN=MIDDLE  ALT=\"x-y=16cm-4cm=12cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore we can solve this rectangle size as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20cm ALIGN=MIDDLE  ALT=\"20cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12cm ALIGN=MIDDLE  ALT=\"12cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "The area comes out to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Br%5D=20cm%2A12cm=240cm%5E2 ALIGN=MIDDLE  ALT=\"A%5Br%5D=20cm%2A12cm=240cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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