document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66092>Question 66092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square picture has a 1-centimeter border around it. Half of the total area of the picture and the border is made up by the border. Use a graph to determine the dimensions of the picture to the nearest tenth centimeter.\r<BR>\n" );
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document.write( "Choices:\r<BR>\n" );
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document.write( "A) 2.4cm by 2.4cm<BR>\n" );
document.write( "B) 4.8cm by 4.8cm<BR>\n" );
document.write( "C) 2cm by 2cm<BR>\n" );
document.write( "D) 4.1 cm by 4.1cm  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46874 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     A square picture has a 1-centimeter border around it. Half of the total area of the picture and the border is made up by the border. Use a graph to determine the dimensions of the picture to the nearest tenth centimeter.<BR>\n" );
document.write( "    Choices:<BR>\n" );
document.write( "    A) 2.4cm by 2.4cm<BR>\n" );
document.write( "    B) 4.8cm by 4.8cm<BR>\n" );
document.write( "    C) 2cm by 2cm<BR>\n" );
document.write( "    D) 4.1 cm by 4.1cm <BR>\n" );
document.write( "BORDER WIDTH = 1 CM<BR>\n" );
document.write( "LET PICTURE BE OF SIDE X CM.<BR>\n" );
document.write( "AREA OF PICTURE = X^2<BR>\n" );
document.write( "HENCE INCLUDING BORDER OF 1 CM ON ALL SIDES, THE SQUARE WILL BE <BR>\n" );
document.write( "OF SIDE (X+1+1)=X+2<BR>\n" );
document.write( "AREA OF PICTURE WITH BORDER =(X+2)^2<BR>\n" );
document.write( "AREA OF BORDER=(X+2)^2-2X^2<BR>\n" );
document.write( "WE GOT<BR>\n" );
document.write( "(X+2)^2-X^2=[(X+2)^2]/2= Y SAY<BR>\n" );
document.write( "WE CAN SOLVE THIS BY DRAWING GRAPHS OF <BR>\n" );
document.write( "Y=2X^2...AND...........Y=(X+2)^2......... <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-50%2C+50%2C+-50%2C+50%2C+%28x%2B2%29%5E2%2F2%2C%28x%2B2%29%5E2-x%5E2%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "WE FIND THAT THE 2 CURVES INTERSECT AT X=4.8 CM<BR>\n" );
document.write( "HENCE THE PICTURE WITH BORDER HAS<BR>\n" );
document.write( "6.8 CM SIDE AND PICTURE HAS 4.8 CM SIDE. </SPAN>\n" );
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