The length of the side DC in the parallelogram ABCD is 13 inches. Hence, option C is correct.
A parallelogram is a quadrilateral in which each side is parallel to the side opposite it. The angles in the parallelogram that are opposite to each other are also equal in the measure.
The missing image of the parallelogram is attached.
The given parallelogram ABCD has the length of AB measures as 9x + 14, and the length of DC measures as 3x + 4 inches.
Since, the opposite sides are equal, side AB is equal to side DC.
AB = DC
9x - 14 = 3x + 4
6x = 18
x = 3 inches
Side DC has been equivalent to, 3x + 4.
Thus,
DC = 3x + 4
Substituting the value of x:
DC = 3 (3) + 4
DC = 13 inches
Therefore, the length of the side DC is 13 inches. Hence, option C is correct.
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