Final answer:
To find the possible value for the length of the rectangle given the perimeter, we can use the formula P = 2l + 2w and solve for the length using the equation l + w = 8. The correct option for the length of the rectangle is 8 inches.
Step-by-step explanation:
To find the possible value for the length of the rectangle, we need to use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. In this case, we are given the perimeter P = 16 inches. Since the width is not given, we can represent it as w. Substitute the values into the formula: 16 = 2l + 2w. We can simplify this equation to l + w = 8.
We know that the width cannot be greater than half of the perimeter, so w can be at most 8/2 = 4 inches. If the width is 4 inches, then the length would be 8 - 4 = 4 inches. Therefore, option C. 8 in. is possible for the length of the rectangle.