16. The perimeter of a parallelogram is 80 inches, and the length of 1 side is 16 inches. If it can be determined, what are the lengths, in inches, of the other 3 sides? E. 16,16,16 G. 16,16,32 H. 16,24,24 J. 16,32,32 K. Cannot be determined from the given information

To solve this problem, we need to find the lengths of the other three sides of the parallelogram.<br /><br />Given information:<br />- The perimeter of the parallelogram is 80 inches.<br />- The length of one side is 16 inches.<br /><br />Let's denote the lengths of the sides of the parallelogram as follows:<br />- Side 1: 16 inches<br />- Side 2: x inches<br />- Side 3: y inches<br />- Side 4: z inches<br /><br />The perimeter of the parallelogram is the sum of the lengths of all four sides:<br />Perimeter = Side 1 + Side 2 + Side 3 + Side 4<br />80 = 16 + x + y + z<br /><br />Since a parallelogram has opposite sides that are equal, we can write:<br />Side 1 = Side 3<br />Side 2 = Side 4<br /><br />Substituting the values, we get:<br />80 = 16 + x + y + y<br />80 = 16 + 2x + 2y<br />64 = 2x + 2y<br />32 = x + y<br /><br />Now, we can find the lengths of the other three sides:<br />Side 2 = Side 4 = x + y = 32 inches<br /><br />Therefore, the lengths of the other three sides are:<br />16, 32, 32<br /><br />The correct answer is J. $16,32,32$.