Answer :
* The perimeter $P$ of a rectangle is calculated using the formula $P = 2l + 2w$, where $l$ is the length and $w$ is the width.
* Substitute the given length $l = 4.5$ cm and width $w = 8.2$ cm into the formula.
* Calculate $P = 2(4.5) + 2(8.2) = 9 + 16.4$.
* The perimeter of the rectangle is $\boxed{25.4 \text{ cm}}$.
### Explanation
1. Problem Analysis
We are given a rectangle with length 4.5 cm and width 8.2 cm. We need to find the perimeter of the rectangle.
2. Perimeter Formula
The formula for the perimeter $P$ of a rectangle with length $l$ and width $w$ is given by:
$$P = 2l + 2w$$
3. Calculation
Substitute the given values of length $l = 4.5$ cm and width $w = 8.2$ cm into the formula:
$$P = 2(4.5) + 2(8.2)$$
$$P = 9 + 16.4$$
$$P = 25.4 \text{ cm}$$
4. Final Answer
The perimeter of the rectangle is 25.4 cm.
### Examples
Understanding how to calculate the perimeter of a rectangle is useful in many real-life situations. For example, if you're building a rectangular fence around a garden, you need to know the perimeter to determine how much fencing material to buy. Similarly, if you're framing a rectangular picture, you need to know the perimeter to determine the length of the frame needed.
* Substitute the given length $l = 4.5$ cm and width $w = 8.2$ cm into the formula.
* Calculate $P = 2(4.5) + 2(8.2) = 9 + 16.4$.
* The perimeter of the rectangle is $\boxed{25.4 \text{ cm}}$.
### Explanation
1. Problem Analysis
We are given a rectangle with length 4.5 cm and width 8.2 cm. We need to find the perimeter of the rectangle.
2. Perimeter Formula
The formula for the perimeter $P$ of a rectangle with length $l$ and width $w$ is given by:
$$P = 2l + 2w$$
3. Calculation
Substitute the given values of length $l = 4.5$ cm and width $w = 8.2$ cm into the formula:
$$P = 2(4.5) + 2(8.2)$$
$$P = 9 + 16.4$$
$$P = 25.4 \text{ cm}$$
4. Final Answer
The perimeter of the rectangle is 25.4 cm.
### Examples
Understanding how to calculate the perimeter of a rectangle is useful in many real-life situations. For example, if you're building a rectangular fence around a garden, you need to know the perimeter to determine how much fencing material to buy. Similarly, if you're framing a rectangular picture, you need to know the perimeter to determine the length of the frame needed.