document.write( "Question 214197: Q.4: A trapezium with vertices A(t,0),B(t+2,0),C(t+2,3t+2) and D(t,2t+1), where t>0, has an area of 18 square units.Find the value of t. \n" ); document.write( "
Algebra.Com's Answer #161793 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The equation for the area of a trapezium (In the US, it's\r\n" );
document.write( "called a \"trapezoid\") is:\r\n" );
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document.write( "\"Area+=+%28b%5B1%5D%2Bb%5B2%5D%29h%2F2\", where \"b%5B1%5D\" and \"b%5B2%5D\"\r\n" );
document.write( "are the two parallel sides, and \"h\" is the perpendicular\r\n" );
document.write( "distance between them.\r\n" );
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document.write( "In this problem, \"b%5B1%5D=AD=2t%2B1\", \"b%5B2%5D=BC=3t%2B2\", \"h=AB=2\",\r\n" );
document.write( "\"Area=18\"\r\n" );
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document.write( "Substitute these into \r\n" );
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document.write( "\"Area+=+%28b%5B1%5D%2Bb%5B2%5D%29h%2F2\", \r\n" );
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document.write( "\"18+=+%28%282t%2B1%29%2B%283t%2B2%29%292%2F2\"\r\n" );
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document.write( "Can you solve that equation? If not post again asking how.\r\n" );
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document.write( "When you solve it you'll get answer \"t=3\" \r\n" );
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document.write( "Edwin
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