document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78327>Question 78327</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>Algebra Structure and Method Book 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the length of a side of a square whose area is the same as that of a rectangle 24 cm. by 30 cm. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56168 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=56168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the areas are equal we can find the area of the rectangle to find the area of the square:\r<BR>\n" );
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document.write( "Area of rectangle=base*height=24*30=720\r<BR>\n" );
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document.write( "So the area of the rectangle is 720 square centimeters. Now we know the area of the square is 720 square centimeters also. Now we have this relationship:\r<BR>\n" );
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document.write( "Area of square=side*side=(side)^2\r<BR>\n" );
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document.write( "Let s=side\r<BR>\n" );
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document.write( "So we have\r<BR>\n" );
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document.write( "Area of square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=s%5E2 ALIGN=MIDDLE  ALT=\"A=s%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=720=s%5E2 ALIGN=MIDDLE  ALT=\"720=s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in A=720 and solve for s\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28720%29=sqrt%28s%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28720%29=sqrt%28s%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=sqrt%28720%29 ALIGN=MIDDLE  ALT=\"s=sqrt%28720%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now reduce:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=sqrt%28144%2A5%29 ALIGN=MIDDLE  ALT=\"s=sqrt%28144%2A5%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=s=sqrt%28144%29%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"s=sqrt%28144%29%2Asqrt%285%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=s=12%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"s=12%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the side of the square is about 26.83 cm long<BR>\n" );
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