document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59609>Question 59609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the perimeters of two squares is 40 inches.  the sum of their areas is 58 square inches.  What are the dimensions of the squares? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40871 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the perimeters of two squares is 40 inches.  the sum of their areas is 58 square inches.  What are the dimensions of the squares?<BR>\n" );
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document.write( "Let the sides of one square be: x<BR>\n" );
document.write( "Let the sides of the other square be:y<BR>\n" );
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document.write( "The perimeter of a square is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28P=4s%29 ALIGN=MIDDLE  ALT=\"highlight%28P=4s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, p=perimeter, s=side<BR>\n" );
document.write( "E1) Therefore the sum of the perimeters is 40 is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B4y=40 ALIGN=MIDDLE  ALT=\"4x%2B4y=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The area of a square is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=s%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28A=s%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, A=area, s=side<BR>\n" );
document.write( "E2) Therefore the sunm of their area is 58 is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=58 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Therefore you have two equations and two unknowns.  Solve E1 for either variable, I'm going with y.<BR>\n" );
document.write( "4x+4y=40<BR>\n" );
document.write( "-4x+4x+4y=-4x+40<BR>\n" );
document.write( "4y=-4x+40<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%2F4=-4x%2F4%2B40%2F4 ALIGN=MIDDLE  ALT=\"4y%2F4=-4x%2F4%2B40%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=-x+10<BR>\n" );
document.write( "Substitute that into E2 for y and solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28-x%2B10%29%5E2=58 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28-x%2B10%29%5E2=58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28-x%2B10%29%28-x%2B10%29=58 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28-x%2B10%29%28-x%2B10%29=58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2-10x-10x%2B100=58 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2-10x-10x%2B100=58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-20x%2B100=58 ALIGN=MIDDLE  ALT=\"2x%5E2-20x%2B100=58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-20x%2B100-58=58-58 ALIGN=MIDDLE  ALT=\"2x%5E2-20x%2B100-58=58-58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-20x%2B42=0 ALIGN=MIDDLE  ALT=\"2x%5E2-20x%2B42=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%5E2%2F2-20x%2F2%2B42%2F2=0%2F2 ALIGN=MIDDLE  ALT=\"2x%5E2%2F2-20x%2F2%2B42%2F2=0%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-10x%2B21=0 ALIGN=MIDDLE  ALT=\"x%5E2-10x%2B21=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor<BR>\n" );
document.write( "(x-3)(x-7)=0  set each parentheses = to 0<BR>\n" );
document.write( "x-3=0 and x-7=0<BR>\n" );
document.write( "x-3+3=0+3 and x-7+7=0+7<BR>\n" );
document.write( "x=3 and x=7<BR>\n" );
document.write( "If you were to substitute either x into E1 you'd get the other x<BR>\n" );
document.write( "4(3)+4y=40<BR>\n" );
document.write( "12+4y=40<BR>\n" );
document.write( "4y=28<BR>\n" );
document.write( "4y/4=28/4<BR>\n" );
document.write( "y=7 You can check 7 for yourself, you'll get 3.<BR>\n" );
document.write( "One square is 3 in x 3 in<BR>\n" );
document.write( "the other is 7 in x 7 in<BR>\n" );
document.write( "Happy Calculating!!!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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