document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133678>Question 1133678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a rectangle field is y^2+16cm and one side is 8y cm. For what value of y the perimeter of the rectangle will be 62 cm<BR>\n" );
document.write( "I. 3cm II.5cm III.7cm<BR>\n" );
document.write( "I<BR>\n" );
document.write( "II<BR>\n" );
document.write( "I AND II<BR>\n" );
document.write( "II AND III </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #750956 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=750956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "The diagonal of a rectangle field is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B16 ALIGN=MIDDLE  ALT=\"y%5E2%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm and one side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y ALIGN=MIDDLE  ALT=\"8y\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm. For what value of y the perimeter of the rectangle will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=62+ ALIGN=MIDDLE  ALT=\"62+\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm\r<BR>\n" );
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document.write( "To find the width, multiply the length that you have been given by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2 ALIGN=MIDDLE  ALT=\"+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and subtract the result from the perimeter. You now have the total length for the remaining <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides. This number divided by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the width.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W=+62-2L ALIGN=MIDDLE  ALT=\"2W=+62-2L\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W=+62-2%2A8y ALIGN=MIDDLE  ALT=\"2W=+62-2%2A8y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+62%2F2-2%2A8y%2F2 ALIGN=MIDDLE  ALT=\"W=+62%2F2-2%2A8y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+31-8y ALIGN=MIDDLE  ALT=\"W=+31-8y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "diagonal cuts rectangle into two right triangles, so if\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=y%5E2%2B16 ALIGN=MIDDLE  ALT=\"d=y%5E2%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=8y ALIGN=MIDDLE  ALT=\"L=8y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+31-8y ALIGN=MIDDLE  ALT=\"W=+31-8y\"   DISABLED_style= \"max-width:90%; height:auto;\" > we have \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=L%5E2%2BW%5E2+ ALIGN=MIDDLE  ALT=\"d%5E2=L%5E2%2BW%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28L%5E2%2BW%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28L%5E2%2BW%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B16=sqrt%28%288y%29%5E2%2B%2831-8y%29%5E2%29 ALIGN=MIDDLE  ALT=\"y%5E2%2B16=sqrt%28%288y%29%5E2%2B%2831-8y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B16=sqrt%2864y%5E2%2B64y%5E2+-+496+y+%2B+961%29 ALIGN=MIDDLE  ALT=\"y%5E2%2B16=sqrt%2864y%5E2%2B64y%5E2+-+496+y+%2B+961%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B16=sqrt%28128y%5E2+-+496+y+%2B+961%29 ALIGN=MIDDLE  ALT=\"y%5E2%2B16=sqrt%28128y%5E2+-+496+y+%2B+961%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%2B16%29%5E2=%28sqrt%28128y%5E2+-+496+y+%2B+961%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28y%5E2%2B16%29%5E2=%28sqrt%28128y%5E2+-+496+y+%2B+961%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E4+%2B+32+y%5E2+%2B+256=+128y%5E2+-+496+y+%2B+961+ ALIGN=MIDDLE  ALT=\"y%5E4+%2B+32+y%5E2+%2B+256=+128y%5E2+-+496+y+%2B+961+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128y%5E2-y%5E4++-+496+y-+32+y%5E2%2B+961+-256=0 ALIGN=MIDDLE  ALT=\"128y%5E2-y%5E4++-+496+y-+32+y%5E2%2B+961+-256=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y%5E4+%2B+96+y%5E2+-+496+y+%2B+705+=+0 ALIGN=MIDDLE  ALT=\"-y%5E4+%2B+96+y%5E2+-+496+y+%2B+705+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28y+-+5%29+%28y+-+3%29+%28y+%28y+%2B+8%29+-+47%29+=+0 ALIGN=MIDDLE  ALT=\"-%28y+-+5%29+%28y+-+3%29+%28y+%28y+%2B+8%29+-+47%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28y+-+5%29=0+ ALIGN=MIDDLE  ALT=\"-%28y+-+5%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y%2B5=0 ALIGN=MIDDLE  ALT=\"-y%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=y ALIGN=MIDDLE  ALT=\"5=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >....one solution to use\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+3%29=0 ALIGN=MIDDLE  ALT=\"%28y+-+3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >....another solution to use\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+%28y+%2B+8%29+-+47%29+=+0 ALIGN=MIDDLE  ALT=\"%28y+%28y+%2B+8%29+-+47%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2B+8y+-+47=+0 ALIGN=MIDDLE  ALT=\"y%5E2+%2B+8y+-+47=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4+-+3+sqrt%287%29 ALIGN=MIDDLE  ALT=\"y+=+-4+-+3+sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3+sqrt%287%29+-+4 ALIGN=MIDDLE  ALT=\"y+=+3+sqrt%287%29+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....disregard these solutions\r<BR>\n" );
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document.write( "go with:\r<BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=8%2A5 ALIGN=MIDDLE  ALT=\"L=8%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=40cm ALIGN=MIDDLE  ALT=\"L=40cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+31-8%2A5 ALIGN=MIDDLE  ALT=\"W=+31-8%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+31-40 ALIGN=MIDDLE  ALT=\"W=+31-40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+-9cm ALIGN=MIDDLE  ALT=\"W=+-9cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> disregard negative solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "go with:\r<BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=8%2A3 ALIGN=MIDDLE  ALT=\"L=8%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=24cm ALIGN=MIDDLE  ALT=\"L=24cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+31-8%2A3 ALIGN=MIDDLE  ALT=\"W=+31-8%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+31-24 ALIGN=MIDDLE  ALT=\"W=+31-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+7cm ALIGN=MIDDLE  ALT=\"W=+7cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check the perimeter:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A24cm%2B2%2A7cm=62cm ALIGN=MIDDLE  ALT=\"2%2A24cm%2B2%2A7cm=62cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48cm%2B14cm=62cm ALIGN=MIDDLE  ALT=\"48cm%2B14cm=62cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=62cm=62cm ALIGN=MIDDLE  ALT=\"62cm=62cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "diagonal:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=y%5E2%2B16 ALIGN=MIDDLE  ALT=\"d=y%5E2%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=3%5E2%2B16 ALIGN=MIDDLE  ALT=\"d=3%5E2%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=25 ALIGN=MIDDLE  ALT=\"d=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%28L%5E2%2BW%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%28L%5E2%2BW%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=sqrt%2824%5E2%2B7%5E2%29 ALIGN=MIDDLE  ALT=\"25=sqrt%2824%5E2%2B7%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=sqrt%28625%29 ALIGN=MIDDLE  ALT=\"25=sqrt%28625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=25 ALIGN=MIDDLE  ALT=\"25=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your answer is: I. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3cm ALIGN=MIDDLE  ALT=\"3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );