document.write( "Question 558828: in the given figure, ABCD is a parallelogram with perimeter 4o cm,AD=2x, CD=2y+2, AB=3x. Find the value of x and y.
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Algebra.Com's Answer #363217 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! First of all, AD=BC, so BC also is 2x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Secondly, AB=CD, so 3x=2y+2. If you solve for 2y, 2y=3x-2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thirdly, Perimeter = Sum of four sides \n" ); document.write( "2x+3x+2x+2y+2 = 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify: \n" ); document.write( "7x+2y+2=40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute 2y=3x+2: \n" ); document.write( "7x + 3x-2+2=40 \n" ); document.write( "10x=40 \n" ); document.write( "x=4 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y=3x-2 \n" ); document.write( "2y=3*4-2 \n" ); document.write( "2y=10 \n" ); document.write( "y=5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida \n" ); document.write( "Altamonte Springs Campus \n" ); document.write( " \n" ); document.write( " |