document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188319>Question 1188319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the diagram, the ratio of the areas of △BED:△DFC is 1:4. If the area of △ABC is 84 cm^2, then the area of parallelogram AEDF, in cm^2 is...<BR>\n" );
document.write( "A) 36 and 1/4   B) 39 and 2/3   C) 40 and 3/4   D) 37 and 1/3   E) 38 and 1/3<BR>\n" );
document.write( "https://ibb.co/YcFWXMT </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819390 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a re-drawing of the given figure:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-1%2C4%2C-1%2C4%0D%0A%2Cline%280%2C0%2C3%2C0%29%2Cline%280%2C0%2C1.2%2C1.731%29%2Cline%283%2C0%2C1.2%2C1.731%29%0D%0A%2Cline%281%2C0%2C1.8%2C1.154%29%2Cline%281%2C0%2C0.4%2C0.577%29%0D%0A%2Clocate%281.1%2C2%2CA%29%2Clocate%28-.2%2C-.1%2CB%29%2Clocate%282.8%2C-.1%2CC%29%0D%0A%2Clocate%280.2%2C0.7%2CE%29%2Clocate%280.9%2C-.1%2CD%29%2Clocate%281.9%2C1.3%2CF%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Given the parallel segments, we know triangles BED and DFC are similar; and knowing that the area of triangle DFC is 4 times the area of triangle BED, we know DC is twice BD.<br><BR>\n" );
document.write( "Then we can draw several other segments parallel to the sides of triangle ABC...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-1%2C4%2C-1%2C4%0D%0A%2Cline%280%2C0%2C3%2C0%29%2Cline%280%2C0%2C1.2%2C1.731%29%2Cline%283%2C0%2C1.2%2C1.731%29%0D%0A%2Cline%281%2C0%2C1.8%2C1.154%29%2Cline%281%2C0%2C0.4%2C0.577%29%0D%0A%2Clocate%281.1%2C2%2CA%29%2Clocate%28-.2%2C-.1%2CB%29%2Clocate%282.8%2C-.1%2CC%29%0D%0A%2Clocate%280.2%2C0.7%2CE%29%2Clocate%280.9%2C-.1%2CD%29%2Clocate%281.9%2C1.3%2CF%29%0D%0A%2Cline%280.8%2C1.154%2C1.8%2C1.154%29%2Cline%280.4%2C0.577%2C+2.4%2C+0.577%29%0D%0A%2Cline%282%2C0%2C2.4%2C0.577%29%2Cline%280.8%2C1.154%2C2%2C0%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "... to see that triangle ABC can be divided into 9 congruent triangles.<br><BR>\n" );
document.write( "Parallelogram AEDF is composed of 4 of those triangles, so its area is 4/9 of the area of triangle ABC.<br><BR>\n" );
document.write( "84(4/9) = 28(4/3) = 112/3 = 37 1/3<br><BR>\n" );
document.write( "ANSWER: D<br><BR>\n" );
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