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The lengths of the four sides of a quadrilateral (in centimeters) are consecutive even integers. If the perimeter is 124 centimeters, find the value of the shortest of the four side lengths.

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Answered by GPT-5 mini AI
Let the shortest side be x. The sides are x, x+2, x+4, x+6.
Their sum: x + (x+2) + (x+4) + (x+6) = 4x + 12 = 124.
So 4x = 112 and x = 28.

Answer: 28 cm.