document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118066>Question 118066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of the rectangle. Top side= square root of 3 + square root of 5 and the right side= square root of 3 + square root of 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86135 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=86135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember the area of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=L%2AW ALIGN=MIDDLE  ALT=\"A=L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the area is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28sqrt%283%29+%2B+sqrt%285%29%29%28sqrt%283%29+%2B+sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"A=%28sqrt%283%29+%2B+sqrt%285%29%29%28sqrt%283%29+%2B+sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=sqrt%283%29+%2B+sqrt%285%29 ALIGN=MIDDLE  ALT=\"L=sqrt%283%29+%2B+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=sqrt%283%29+%2B+sqrt%285%29 ALIGN=MIDDLE  ALT=\"W=sqrt%283%29+%2B+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's foil the expression to find the area\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%29%2Bsqrt%285%29%29%28sqrt%283%29%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29%2Bsqrt%285%29%29%28sqrt%283%29%2Bsqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28sqrt%283%29%29%2Bsqrt%285%29%29%28highlight%28sqrt%283%29%29%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28sqrt%283%29%29%2Bsqrt%285%29%29%28highlight%28sqrt%283%29%29%2Bsqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the First terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%29%29%2A%28sqrt%283%29%29=sqrt%283%29%5E2=3 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29%29%2A%28sqrt%283%29%29=sqrt%283%29%5E2=3\"   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=%28highlight%28sqrt%283%29%29%2Bsqrt%285%29%29%28sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28sqrt%283%29%29%2Bsqrt%285%29%29%28sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Outer terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%29%29%2A%28sqrt%285%29%29=sqrt%283%29sqrt%285%29=sqrt%283%2A5%29=sqrt%2815%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29%29%2A%28sqrt%285%29%29=sqrt%283%29sqrt%285%29=sqrt%283%2A5%29=sqrt%2815%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=%28sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29%28highlight%28sqrt%283%29%29%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29%28highlight%28sqrt%283%29%29%2Bsqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Inner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29%29%2A%28sqrt%283%29%29=sqrt%285%29sqrt%283%29=sqrt%285%2A3%29=sqrt%2815%29 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%29%2A%28sqrt%283%29%29=sqrt%285%29sqrt%283%29=sqrt%285%2A3%29=sqrt%2815%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=%28sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29%28sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29%28sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Last terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29%29%2A%28sqrt%285%29%29=sqrt%285%29%5E2=5 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%29%2A%28sqrt%285%29%29=sqrt%285%29%5E2=5\"   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=3%2Bsqrt%2815%29%2Bsqrt%2815%29%2B5 ALIGN=MIDDLE  ALT=\"3%2Bsqrt%2815%29%2Bsqrt%2815%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term to make a single expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B2sqrt%2815%29 ALIGN=MIDDLE  ALT=\"8%2B2sqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%29+%2B+sqrt%285%29%29%28sqrt%283%29+%2B+sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29+%2B+sqrt%285%29%29%28sqrt%283%29+%2B+sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils and simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B2sqrt%2815%29 ALIGN=MIDDLE  ALT=\"8%2B2sqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%29+%2B+sqrt%285%29%29%28sqrt%283%29+%2B+sqrt%285%29%29=8%2B2sqrt%2815%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29+%2B+sqrt%285%29%29%28sqrt%283%29+%2B+sqrt%285%29%29=8%2B2sqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=8%2B2sqrt%2815%29 ALIGN=MIDDLE  ALT=\"A=8%2B2sqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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