document.write( "Question 126361: The lengths of two sides of a parallelogram are consecutive even integers and the perimeter of the parallelogram is 36 cm. What is the length of the longer side? \n" ); document.write( "
Algebra.Com's Answer #92575 by solver91311(24713)\"\" \"About 
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If the lengths of the sides are consecutive even integers, then you can say that the longer one is x and the shorter one is x - 2.\r
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\n" ); document.write( "\n" ); document.write( "The perimeter of a parallelogram is just the sum of the 4 sides. Here we have 2 sides of length x and 2 sides of length x - 2, so adding them all up:\r
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\n" ); document.write( "\n" ); document.write( "\"x+%2B+x+%2B+%28x+-+2%29+%2B+%28x+-+2%29=36\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x-4=36\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x=40\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=10\". So the longer side measures 10 cm.\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "If the longer side is 10 cm, then the shorter side must be 8 cm. 2 times 8 is 16, 2 times 10 is 20, and 16 plus 20 is 36, answer checks.
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