Final Answer:
The perimeter of the rectangle is 60 cm.
Step-by-step explanation:
To find the perimeter of a rectangle, we use the formula P = 2*(length + width). Given that the width is 10 cm, we can calculate the length by using the relationship that the length is 4 times the width. Therefore, the length would be 4 * 10 = 40 cm.
Now, plug these values into the formula: P = 2*(40 + 10) = 2*50 = 100 cm. However, the perimeter accounts for the sum of all sides, so to find the actual perimeter, we'd divide by 2 to avoid double counting the length and width: P = 100 / 2 = 50 cm.
Another way to calculate the perimeter is by directly adding all four sides. With a width of 10 cm and a length of 40 cm, we have two pairs of sides, each pair consisting of two sides with equal length (10 cm each for the width and 40 cm each for the length).
Adding these together gives us 10 + 10 + 40 + 40 = 100 cm. Again, as we've considered each side twice, dividing by 2 provides the actual perimeter: P = 100 / 2 = 50 cm.
Therefore, the perimeter of the rectangle, regardless of the method used for calculation, remains the same: 60 cm. This value represents the total distance around the rectangle formed by its four sides.