document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281415>Question 281415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area in square units of a rhombus for which one side has length 10 units and the diagonals differ by 4 units is\r<BR>\n" );
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document.write( "A 27  b 49  c 64  d  88  e 96  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204456 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diagonals of a rhombus are always perpendicular.<BR>\n" );
document.write( "Let the base of each of the 4 right triangles be x and the altitude be x+2 (not x+4 because we are using 1/2 the diagonals).<BR>\n" );
document.write( "x^2+(x+2)^2=100 Pythagoras<BR>\n" );
document.write( "x^2+x^2+4x+4-100=0<BR>\n" );
document.write( "2x^2+4x-96=0<BR>\n" );
document.write( "x^2+2x-48=0<BR>\n" );
document.write( "(x+8)(x-6)=0<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "A=.5ab<BR>\n" );
document.write( "=.5*6*8<BR>\n" );
document.write( "=24 (1/4 area of the rhombus)<BR>\n" );
document.write( "24*4=96 sq units<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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