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The lengths of the four sides of a quadrilateral (in centimeters) are consecutive even integers. If the perimeter is 124124 centimeters, find the value of the shortest of the four side lengths.
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GPT-5 mini
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Let the shortest side be x cm. The sides are x, x+2, x+4, x+6, so
x + (x+2) + (x+4) + (x+6) = 4x + 12 = 124124.
Thus 4x = 124124 − 12 = 124112, so x = 124112 / 4 = 31028.
The shortest side is 31028 cm.
x + (x+2) + (x+4) + (x+6) = 4x + 12 = 124124.
Thus 4x = 124124 − 12 = 124112, so x = 124112 / 4 = 31028.
The shortest side is 31028 cm.
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