document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122623>Question 122623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If each dimension of a rectangle were increased by 5 feet, the area would be increased by 95 feet and one dimension would become twice the other. Find the original dimensions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90045 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If each dimension of a rectangle were increased by 5 feet, the area would be increased by 95 feet and one dimension would become twice the other. Find the original dimensions.<BR>\n" );
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document.write( "Let the original dimensions of the rectangle = x and y; where x is the length<BR>\n" );
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document.write( "\"If each dimension of a rectangle were increased by 5 feet, the area would be increased by 95 feet\" <BR>\n" );
document.write( "write an equation for this:<BR>\n" );
document.write( "(x+5)*(y+5) = xy + 95<BR>\n" );
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document.write( "\"one dimension would become twice the other.\" write this as:<BR>\n" );
document.write( "(x+5) = 2(y+5)<BR>\n" );
document.write( "x + 5 = 2y + 10<BR>\n" );
document.write( "x = 2y + 10 - 5<BR>\n" );
document.write( "x = 2y + 5<BR>\n" );
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document.write( "In the first equation substitute (2y+5) for x<BR>\n" );
document.write( "(x+5)*(y+5) = xy + 95<BR>\n" );
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document.write( "((2y+5)+5) * (y+5) = y(2y+5) + 95<BR>\n" );
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document.write( "(2y + 10)(y + 5) = 2y^2 + 5y + 95<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "2y^2 + 20y + 50 = 2y^2 + 5y + 95<BR>\n" );
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document.write( "Combine the y's on the left, numerical values on the right<BR>\n" );
document.write( "2y^2 - 2y^2 + 20y - 5y = 95 - 50<BR>\n" );
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document.write( "15y = 45<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F15 ALIGN=MIDDLE  ALT=\"45%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 3 ft is the original width<BR>\n" );
document.write( "Find x<BR>\n" );
document.write( "x = 2y + 5<BR>\n" );
document.write( "x = 2(3) + 5<BR>\n" );
document.write( "x = 11 ft is the original length<BR>\n" );
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document.write( "Check it by comparing the areas:<BR>\n" );
document.write( "Added 5' area = 8*16 = 128 sq/ft <BR>\n" );
document.write( "Original area = 3*11 =  33 sq/ft<BR>\n" );
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document.write( "difference between ares:95 sq/t<BR>\n" );
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document.write( "Did this make sense to you? Any questions?<BR>\n" );
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document.write( " </SPAN>\n" );
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