document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184911>Question 1184911</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The shorter base of a trapezoidal lot measures 12m. The non-parallel sides<BR>\n" );
document.write( "make 45 degrees and 60 degrees interior angles with the longer base. <BR>\n" );
document.write( "Find the area of the lot if the side inclined at an angle of 45 degrees with<BR>\n" );
document.write( "the longer base measures 9m. </SPAN>\n" );
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document.write( "Ugly numbers; you can do the details to get the answer.<br><BR>\n" );
document.write( "The 9m side is the hypotenuse of a 45-45-90 right triangle, so the length of each leg is (9/sqrt(2)) meters.  One leg is part of the longer base; the other is the height of the trapezoid.<br><BR>\n" );
document.write( "The height of the trapezoid is the long leg of a 30-60-90 right triangle; the length of the short leg is (9/sqrt(2)) divided by sqrt(3).  That short leg is the remaining part of the longer base.<br><BR>\n" );
document.write( "Now you have expressions for the height of the trapezoid, the length of the shorter base, and the lengths of the three pieces of the longer base; the area of the trapezoid is the height times the average of the two bases.<br><BR>\n" );
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