document.write( "Question 393750: If AB = 4x + y , BC = y + 4 , CD = 3x + 6 , DA 2x + y , Find the lengths of the sides of the parallelogram. \n" ); document.write( "
Algebra.Com's Answer #279415 by CharlesG2(834)\"\" \"About 
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If AB = 4x + y , BC = y + 4 , CD = 3x + 6 , DA 2x + y , Find the lengths of the sides of the parallelogram.\r
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\n" ); document.write( "\n" ); document.write( "parallelogram --> 2 pairs of parallel sides, 2 pairs of sides of equal length\r
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\n" ); document.write( "\n" ); document.write( "AB = CD
\n" ); document.write( "BC = DA
\n" ); document.write( "4x + y = 3x + 6 --> y = 3x - 4x + 6 = -x + 6
\n" ); document.write( "y + 4 = 2x + y --> y - y = 2x - 4 --> 0 = 2x - 4 --> 4 = 2x --> x = 2
\n" ); document.write( "y = -x + 6 --> y = -2 + 6 = 4
\n" ); document.write( "AB = 4x + y = 4*2 + 4 = 8 + 4 = 12
\n" ); document.write( "BC = y + 4 = 4 + 4 = 8
\n" ); document.write( "CD = 3x + 6 = 3*2 + 6 = 6 + 6 = 12
\n" ); document.write( "DA = 2x + y = 2*2 + 4 = 4 + 4 = 8\r
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