document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234099>Question 234099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this question:-ABCD is a rectangle in which AB=(4x+3)cm  and BC=(3x-2)cm.<BR>\n" );
document.write( "PQR is a triangle in which PQ=5xcm QR=4x cm and PQR=90degree<BR>\n" );
document.write( "the area of rectangle ABCD is equal to the area of the triangle PQR<BR>\n" );
document.write( "(i)form an equation in x and show that it reduces to 2x square+x-6=0<BR>\n" );
document.write( "(ii)solve the equation to find the value of x<BR>\n" );
document.write( "(iii)find the length of PQ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172668 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=172668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of the rectangle is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Br%5D+=+%284x%2B3%29%283x-2%29 ALIGN=MIDDLE  ALT=\"A%5Br%5D+=+%284x%2B3%29%283x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Br%5D+=+12x%5E2%2Bx-6 ALIGN=MIDDLE  ALT=\"A%5Br%5D+=+12x%5E2%2Bx-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The area of the triangle is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bt%5D+=+%281%2F2%29%284x%29%285x%29 ALIGN=MIDDLE  ALT=\"A%5Bt%5D+=+%281%2F2%29%284x%29%285x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bt%5D+=+10x%5E2 ALIGN=MIDDLE  ALT=\"A%5Bt%5D+=+10x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Br%5D+=+A%5Bt%5D ALIGN=MIDDLE  ALT=\"A%5Br%5D+=+A%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2%2Bx-6+=+10x%5E2 ALIGN=MIDDLE  ALT=\"12x%5E2%2Bx-6+=+10x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E2 ALIGN=MIDDLE  ALT=\"10x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282x%5E2%2Bx-6+=+0%29 ALIGN=MIDDLE  ALT=\"highlight%282x%5E2%2Bx-6+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-3%29%28x%2B2%29+=0 ALIGN=MIDDLE  ALT=\"%282x-3%29%28x%2B2%29+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3+=+0 ALIGN=MIDDLE  ALT=\"2x-3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+=+0 ALIGN=MIDDLE  ALT=\"x%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2 ALIGN=MIDDLE  ALT=\"x+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2 ALIGN=MIDDLE  ALT=\"x+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the negative solution as lengths are positive.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+3%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+3%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PQ+=+5x ALIGN=MIDDLE  ALT=\"PQ+=+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PQ+=+5%283%2F2%29 ALIGN=MIDDLE  ALT=\"PQ+=+5%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28PQ+=+7.5%29 ALIGN=MIDDLE  ALT=\"highlight%28PQ+=+7.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );