document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91208>Question 91208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle is 4 times as long as it is wide. A second rectangle is 5 cm longer and 2 cm wider than the first. The area of the second rectangle is 270 square cm greater than the first. What are the dimensions of the original rectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66397 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=66397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Translate each sentence into an equation/expression<BR>\n" );
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document.write( "A rectangle is 4 times as long as it is wide. <BR>\n" );
document.write( "x = width of the 1st rectangle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4x = length of the 1st rectangle<BR>\n" );
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document.write( "A second rectangle is 5 cm longer and 2 cm wider than the first. <BR>\n" );
document.write( "(4x + 5) = length of the 2nd rectangle<BR>\n" );
document.write( "(x+2) = width of the 2nd rectangle<BR>\n" );
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document.write( "The area of the second rectangle is 270 square cm greater than the first.<BR>\n" );
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document.write( "Area of 2nd rectangle - area of 2st rectangle = 270<BR>\n" );
document.write( "(4x+5)*(x+2) - x(4x) = 270<BR>\n" );
document.write( "(4x^2 + 8x + 5x + 10) - 4x^2 = 270; FOILed (4x+5)(x+2)<BR>\n" );
document.write( "4x^2 + 13x + 10 - 4x^2 = 270; <BR>\n" );
document.write( "13x + 10 = 270; 4x^2's cancel each other<BR>\n" );
document.write( "13x = 270 - 10<BR>\n" );
document.write( "13x = 260<BR>\n" );
document.write( "x = 260/13<BR>\n" );
document.write( "x = 20<BR>\n" );
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document.write( " What are the dimensions of the original rectangle?<BR>\n" );
document.write( "1st rectangle: 4*20 = 80: 80 by 20<BR>\n" );
document.write( "2nd rectangle: 80+5; 20+2; 85 by 22<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "85*22 = 1870<BR>\n" );
document.write( "80*20 = 1600<BR>\n" );
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document.write( "diffence 270<BR>\n" );
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document.write( "How about this? Did I make it understandable to you? </SPAN>\n" );
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