document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209739>Question 209739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the area of a trapezoid is 150 sq. meters. the height is 10 meters and one base is two meters longer than the other base. Find the length of each base. show all work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159575 by </B><A HREF=/tutors/aboutme.mpl?userid=math+problem+solving><B>math problem solving(30)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math+problem+solving><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=159575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve the problem, we need to use the following formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28%28a%2Bb%29%2Ah%29%2F2 ALIGN=MIDDLE  ALT=\"A+=+%28%28a%2Bb%29%2Ah%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where<BR>\n" );
document.write( "A is the area of a trapezoid<BR>\n" );
document.write( "a and b are the lengths of its two bases<BR>\n" );
document.write( "h is the height\r<BR>\n" );
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document.write( "Let x be the shorter base.<BR>\n" );
document.write( "Then the longer base is x+2\r<BR>\n" );
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document.write( "Substituting the following into the formula<BR>\n" );
document.write( "a = x<BR>\n" );
document.write( "b = x+2<BR>\n" );
document.write( "A = 150<BR>\n" );
document.write( "h = 10<BR>\n" );
document.write( "we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150+=+%28x+%2B+x%2B2%29%2A10%2F2 ALIGN=MIDDLE  ALT=\"150+=+%28x+%2B+x%2B2%29%2A10%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving for x, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150+=+5%282x%2B2%29 ALIGN=MIDDLE  ALT=\"150+=+5%282x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150+=+10x+%2B+10 ALIGN=MIDDLE  ALT=\"150+=+10x+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140+=+10x ALIGN=MIDDLE  ALT=\"140+=+10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=14 ALIGN=MIDDLE  ALT=\"x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the shorter one is 14 meters long, the longer one is 16 meters long.<BR>\n" );
document.write( " </SPAN>\n" );
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