document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150783>Question 1150783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In trapezoid ABCD, AB || CD. Let P be the midpoint of AD. If the area of triangle APB is 5, and the area of triangle CDP is 17,then find the area of trapezoid ABCD.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772237 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=772237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let Q be the midpoint of BC, so that PQ is the midsegment of the trapezoid.<br><BR>\n" );
document.write( "Let AB=2x and CD=2y; and let the height of the trapezoid be 2h.<br><BR>\n" );
document.write( "Then the altitudes of triangles ABP and CDP are both h.<br><BR>\n" );
document.write( "The area of triangle ABP is one-half base times height: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%282x%29%28h%29+=+xh+=+5 ALIGN=MIDDLE  ALT=\"%281%2F2%29%282x%29%28h%29+=+xh+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The area of triangle CDP is one-half base times height: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%282y%29%28h%29+=+yh+=+17 ALIGN=MIDDLE  ALT=\"%281%2F2%29%282y%29%28h%29+=+yh+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The area of the trapezoid is the average of the bases times the height: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%2B2y%29%2F2%29%282h%29+=+%282x%2B2y%29%28h%29+=+2%28xh%2Byh%29+=+2%285%2B17%29+=+2%2822%29+=+44 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The area of the trapezoid is 44<br><BR>\n" );
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