Final answer:
To find the value of 'n' in the partitioned rectangle box, we need to solve the equation: 46 + 34 + 55 + n = the perimeter of the rectangle box.
Step-by-step explanation:
The question asks us to find the value of 'n' in the partitioned rectangle box. We are given the perimeters of the four smaller rectangles as 46, 34, 55, and 'n' units. Since the perimeters of rectangles are the sum of all sides, we can write the equation: 46 + 34 + 55 + n = the perimeter of the rectangle box. To find the value of 'n', we need to solve this equation.
Perimeter of the rectangle box = sum of all sides = 46 + 34 + 55 + n
For example, if the perimeter of the rectangle box is 100 units, the equation would be: 46 + 34 + 55 + n = 100. Solving this equation will give us the value of 'n'.