To find the perimeter and area of a rectangle with a given length and width, you can use the following formulas:
1. Perimeter of a Rectangle: The perimeter \(\( P \)\) is the total distance around the rectangle. It is calculated by adding up all the side lengths.
Formula:
\(\[
P = 2 \times (\text{length} + \text{width})
\]\)
2. Area of a Rectangle: The area \(\( A \)\) is the amount of space enclosed within the rectangle's sides. It is calculated by multiplying the length by the width.
Formula:
\(\[
A = \text{length} \times \text{width}
\]\)
Given:
- Length \(\( = 15 \)\) centimeters
- Width \(\( = 14 \)\) centimeters
Let's calculate the perimeter and area:
### Perimeter Calculation
\(\[
P = 2 \times (15 \text{ cm} + 14 \text{ cm})
\]\)
First, add the length and the width:
\(\[
15 \text{ cm} + 14 \text{ cm} = 29 \text{ cm}
\]\)
Then, multiply by 2:
\(\[
P = 2 \times 29 \text{ cm} = 58 \text{ cm}
\]\)
### Area Calculation
\(\[
A = 15 \text{ cm} \times 14 \text{ cm}
\]\)
Multiply the length by the width:
\(\[
A = 210 \text{ square centimeters}
\]\)
### Final Answers
- Perimeter = 58 centimeters
- Area = 210 square centimeters
