document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187460>Question 187460</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078652499/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A rhombus has a perimeter of 80 meters and the length of one diagonal is 24 meters. Find the area of the rhombus. </SPAN>\n" );
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document.write( "</pre><font size=4><b><BR>\n" );
document.write( "For the Area of a Rhombus, we take \"half\" of the product of the diagonals.<BR>\n" );
document.write( "But we need to know the length of the sides which will be very helpful.<BR>\n" );
document.write( "Knowing Perimeter we get---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5BR%5D=4%2AS ALIGN=MIDDLE  ALT=\"P%5BR%5D=4%2AS\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80m=4%2AS ALIGN=MIDDLE  ALT=\"80m=4%2AS\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%2880%2920%2Fcross%284%29=cross%284%29S%2Fcross%284%29 ALIGN=MIDDLE  ALT=\"cross%2880%2920%2Fcross%284%29=cross%284%29S%2Fcross%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=20m ALIGN=MIDDLE  ALT=\"S=20m\"   DISABLED_style= \"max-width:90%; height:auto;\" >. *All Equal sides<BR>\n" );
document.write( "Given one of the diagonal=24meters,<BR>\n" );
document.write( "Let's see the illustration below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-1%2C6%2C-1%2C5%2Cline%280%2C0%2C1%2C3.5%29%2Cline%281%2C3.5%2C5%2C3.5%29%2Cline%285%2C3.5%2C4%2C0%29%2Cline%284%2C0%2C0%2C0%29%2Cgreen%28line%280%2C0%2C5%2C3.5%29%29%2Cgreen%28line%281%2C3.5%2C4%2C0%29%29%2Cred%28locate%282.2%2C1.7%2C90%5Eo%29%29%2Cred%28locate%282.4%2C2.2%2C90%5Eo%29%29%2Cred%28locate%282.7%2C2%2C90%5Eo%29%29%2Cred%28locate%282%2C2%2C90%5Eo%29%29%2Cblue%28locate%28-.2%2C0%2CA%29%29%2Cblue%28locate%28.8%2C3.5%2CB%29%29%2Cblue%28locate%285.2%2C3.5%2CC%29%29%2Cblue%28locate%283.5%2C0%2CD%29%29%2Cred%28locate%281.5%2C3%2C12m%29%29%2Cred%28locate%283%2C1%2C12m%29%29%2Cblue%28locate%283%2C3.8%2C20m%29%29%2Clocate%282.5%2C1.88%2CE%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Given: BD=BE+ED=12+12=24meters; AC=AE+EC *note AE=EC\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As you see we can get AE or EC by Pyth Theorem since it forms a Right Triangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%5E2=BE%5E2%2BEC%5E2 ALIGN=MIDDLE  ALT=\"20%5E2=BE%5E2%2BEC%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=EC%5E2=20%5E2-12%5E2=400-144=256 ALIGN=MIDDLE  ALT=\"EC%5E2=20%5E2-12%5E2=400-144=256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=EC=sqrt%28256%29=red%2816meters%29=AE=EC ALIGN=MIDDLE  ALT=\"EC=sqrt%28256%29=red%2816meters%29=AE=EC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore, Diagonal, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+AC=AE%2BEC=16%2B16=red%2832meters%29 ALIGN=MIDDLE  ALT=\"+AC=AE%2BEC=16%2B16=red%2832meters%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "In conclusion, as we noted above, we take \"half\" of the product of the Diagonals: A=(1/2)(AC)(BD)=(1/2)(32m)(24m)=<font color=red>384sq.meter</font>\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font> </SPAN>\n" );
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