document.write( "Question 1151015: ABCD is a trapezium in which AB is parallel to DC and ABC=90
\n" ); document.write( "(a)Given that AB=(2x-1)cm and DC=(x+1)cm and BC=(x-2)cm and that the area of the trapezium is 36cm form an equation in x and show that it reduces to.
\n" ); document.write( "(b) solve the equation and hence find the length of AB
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #772598 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Draw the picture and label the parts if necessary.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28AB%2BCD%29%2F2%29%28BC%29=36\"\r
\n" ); document.write( "\n" ); document.write( "\"%28AB%2BDC%29%28BC%29=72\"\r
\n" ); document.write( "\n" ); document.write( "\"%282x-1%2Bx%2B1%29%28x-2%29=72\"\r
\n" ); document.write( "\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "\"x%5E2-2x-24=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%28x-2%29=24\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=6%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Length of AB
\n" ); document.write( "\"2x-1\"\r
\n" ); document.write( "\n" ); document.write( "\"2%2A6-1\"
\n" ); document.write( "\"highlight%2811%29\"------------------AB
\n" ); document.write( "
\n" );