document.write( "Question 252629: 1. The sides of the quadrilateral are consecutive numbers. If the perimeter is 162, how long is each side? \n" ); document.write( "
Algebra.Com's Answer #184650 by jim_thompson5910(35256)\"\" \"About 
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Let x = length of first side.\r
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\n" ); document.write( "\n" ); document.write( "Since \"The sides of the quadrilateral are consecutive numbers\", this means that the side lengths are: x, x+1, x+2, and x+3. Also, because the perimeter is 162, we know that \"x%2Bx%2B1%2Bx%2B2%2Bx%2B3=162\" (just add up the four sides and set the sum equal to 162).\r
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\n" ); document.write( "\n" ); document.write( "\"x%2Bx%2B1%2Bx%2B2%2Bx%2B3=162\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B6=162\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"4x=162-6\" Subtract \"6\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"4x=156\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28156%29%2F%284%29\" Divide both sides by \"4\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=39\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x=39\" giving the four sides to be:\r
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\n" ); document.write( "\n" ); document.write( "x = 39
\n" ); document.write( "x+1 = 40
\n" ); document.write( "x+2 = 41
\n" ); document.write( "x+3 = 42
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