document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302231>Question 302231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a rectangle is 8 cm. The length of the rectangle is 1.6 cm more than the width. Find the dimmensions of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216767 by </B><A HREF=/tutors/aboutme.mpl?userid=london+maths+tutor><B>london maths tutor(243)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=london+maths+tutor><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=london+maths+tutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=216767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cutting the rectangle into half diagonally, it is a right angle triangle.\r<BR>\n" );
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document.write( "Using Pythagoras' Theorem: Length^2 + width^2 = Diagonal^2\r<BR>\n" );
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document.write( "Let's length = L , width = w and Diagonal = d \r<BR>\n" );
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document.write( "L = (w + 1.6)cm and d = 8cm \r<BR>\n" );
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document.write( "This gives: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B1.6%29%5E2+%2B+w%5E2+=+8%5E2 ALIGN=MIDDLE  ALT=\"%28w%2B1.6%29%5E2+%2B+w%5E2+=+8%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=%28w%2B1.6%29%5E2+%2B+w%5E2+=+64 ALIGN=MIDDLE  ALT=\"%28w%2B1.6%29%5E2+%2B+w%5E2+=+64\"   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=%28w%5E2+%2B+2%281.6%29w+%2B+%281.6%29%5E2%29+%2B+w%5E2+=+64 ALIGN=MIDDLE  ALT=\"%28w%5E2+%2B+2%281.6%29w+%2B+%281.6%29%5E2%29+%2B+w%5E2+=+64\"   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%5E2+%2B+3.2w+%2B+2.56+-+64+=+0+ ALIGN=MIDDLE  ALT=\"2w%5E2+%2B+3.2w+%2B+2.56+-+64+=+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=2w%5E2+%2B+3.2w+-+61.44+=+0+ ALIGN=MIDDLE  ALT=\"2w%5E2+%2B+3.2w+-+61.44+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <BR>\n" );
document.write( "a = 2 , b = 3.2 and c = -61.44 \r<BR>\n" );
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document.write( "w = 4.8 cm or - 6.4 (N/A)\r<BR>\n" );
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document.write( "and therefore, L = 4.8 + 1.6 = 6.4 cm\r<BR>\n" );
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document.write( "Answer: width = 4.8 cm and Length = 6.4 cm\r<BR>\n" );
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document.write( " </SPAN>\n" );
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