document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137052>Question 137052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Green Leaf Landscaping is planting a rectangular wildflower garden with a perimeter of 6m and a diagonal of sqrt5 m.  Find the dimensions of the garden </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100290 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2L%2B2W ALIGN=MIDDLE  ALT=\"P=2L%2B2W\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we know that is equal to 6.  Half of the perimeter is 3, but that is also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=P%2F2=L%2BW ALIGN=MIDDLE  ALT=\"3=P%2F2=L%2BW\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Knowing that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2BW=3 ALIGN=MIDDLE  ALT=\"L%2BW=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3-W ALIGN=MIDDLE  ALT=\"L=3-W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We also know that L, W, and the diagonal of the rectangle form a right triangle, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2BW%5E2=%28sqrt%285%29%29%5E2 ALIGN=MIDDLE  ALT=\"L%5E2%2BW%5E2=%28sqrt%285%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3-W ALIGN=MIDDLE  ALT=\"L=3-W\"   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=%283-W%29%5E2%2BW%5E2=5 ALIGN=MIDDLE  ALT=\"%283-W%29%5E2%2BW%5E2=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Just expand the binomial, collect like terms, put the equation into standard form, and solve the quadratic for W.  L follows directly from knowing W.  Hint: The quadratic factors easily. </SPAN>\n" );
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