document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=457588>Question 457588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangle is (x+3)cm long and y cm wide.the perimeter of the rectangle is 20cm<BR>\n" );
document.write( "a)show that y=7-x<BR>\n" );
document.write( "b)the area is 19cm^2. Show that x^2-4x-2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313956 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=313956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a rectangle is (x+3)cm long and y cm wide.<BR>\n" );
document.write( "the perimeter of the rectangle is 20cm<BR>\n" );
document.write( "a)show that y=7-x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Perimeter = 2(length + width)<BR>\n" );
document.write( "20 = 2(x+3 +y)<BR>\n" );
document.write( "10 = x + 3 + y<BR>\n" );
document.write( "y = 7-x<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "b)the area is 19cm^2. Show that x^2-4x-2=0<BR>\n" );
document.write( "Area = length*width<BR>\n" );
document.write( "19 = (x+2)y<BR>\n" );
document.write( "19 = (x+2)(7-x)<BR>\n" );
document.write( "19 = -(x+2)(x-7)<BR>\n" );
document.write( "19 = -[x^2-5x-14]<BR>\n" );
document.write( "x^2 -5x-14+19 = 0<BR>\n" );
document.write( "x^2 -5x +5 = 0<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );