document.write( "Question 1081942: The side lengths of a quadrilateral produce an arithmetic sequence. If the longest side
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Algebra.Com's Answer #696021 by ikleyn(52864) $\"\"$ $\"About$

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document.write( "The average length of four sides is  = 15.\r\n" );
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document.write( "Now imagine 4 points in the number line, equidistantly placed with the step \"d\", which is the common difference of the AP.\r\n" );
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document.write( "Then the distance from the center to the fourth (right-most) point is 1.5d.\r\n" );
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document.write( "So, 1.5d = 24 - 15 = 9.   Hence,  d = 6.\r\n" );
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document.write( "Thus the sides are 24, 24-6 = 18, 18 - 6 = 12  and  12 - 6 = 6.\r\n" );
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document.write( "Answer.  The sides are 6, 12, 18 and 24 cm.\r\n" );
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document.write( "Check.   6 + 12 + 18 + 24 = 60 cm.\r\n" );
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