Final answer:
The perimeter of a rectangle is equal to twice the length plus twice the width. In this case, we are given that the perimeter is 68 inches, so the sum of the length and width is 34 inches.
Step-by-step explanation:
The perimeter of a rectangle is equal to twice the length plus twice the width. Let's assume the length is L inches and the width is W inches. So the formula for the perimeter would be P = 2L + 2W. In this case, we are given that the perimeter is 68 inches, so we can write the equation as 68 = 2L + 2W.
We can simplify the equation by dividing both sides by 2, which gives us 34 = L + W. Now, we know that the perimeter is 68 inches, so we can substitute 34 in place of L + W in the equation, which gives us 34 = 34. This means that the sum of the length and width is 34 inches.
Since we don't have any other information about the dimensions of the rectangle, we cannot determine the exact values of L and W. However, we do know that their sum is 34 inches.