document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=843854>Question 843854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> isosceles trapezoid with a perimeter of 52 yards; the measure if one base is 10 yards greater than the other base, the measure of each leg is 3 yards less than twice the length of the shorter base, Find the area of the figure  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508360 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=508360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A drawing helps, and is difficult to do through this system; so here is a description of the drawing:\r<BR>\n" );
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document.write( "Let b = the shorter base.<BR>\n" );
document.write( "Longer base is b+10.<BR>\n" );
document.write( "Each nonparallel side of the trapezoid is 2b-3, and the trapezoid has two of them.\r<BR>\n" );
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document.write( "The perimeter is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28b%2B%28b%2B10%29%2B%282b-3%29%2B%282b-3%29=52%29 ALIGN=MIDDLE  ALT=\"highlight_green%28b%2B%28b%2B10%29%2B%282b-3%29%2B%282b-3%29=52%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Omitting the steps,... the solution here is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=8%29 ALIGN=MIDDLE  ALT=\"highlight%28b=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The smaller base is 8 yards and the larger base is 18 yards.\r<BR>\n" );
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document.write( "Each nonparallel side, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2B2%2A8=highlight%2813%29 ALIGN=MIDDLE  ALT=\"-3%2B2%2A8=highlight%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Relabeling all four sides of this trapezoid, you can figure how it is composed of a rectangle and two congruent right triangles.  You want the HEIGHT of this entire figure.  Continue analyzing this figure:  the triangles each have 5 yard leg at the bottom, hypotenuse of 13, and unknown other leg, y.<BR>\n" );
document.write( "We want this y, because this is the height of the figure:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y%5E2%2B5%5E2=13%5E2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y%5E2%2B5%5E2=13%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%2813%5E2-5%5E2%29 ALIGN=MIDDLE  ALT=\"y=sqrt%2813%5E2-5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%28169-25%29 ALIGN=MIDDLE  ALT=\"y=sqrt%28169-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%28144%29 ALIGN=MIDDLE  ALT=\"y=sqrt%28144%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=12%29 ALIGN=MIDDLE  ALT=\"highlight%28y=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "AREA-------<BR>\n" );
document.write( "(Average of the two bases) multiplied by (Altitude of the trapezoid)<BR>\n" );
document.write( "Area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28%28%288%2B18%29%2F2%29%2A12%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28%28%288%2B18%29%2F2%29%2A12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "13*12=156 square yards<BR>\n" );
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