Answer :
Final answer:
The width of the rectangle is 6 centimeters.
Explanation:
The question is asking us to find the width of a rectangle given its length and the relationship between the perimeter and the length. Let's solve the problem step by step.
- We are given that the perimeter of the rectangle is three times its length. So, if the length is 12 centimeters, the perimeter would be 3 * 12 = 36 centimeters.
- The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. Since we know that the perimeter is 36 centimeters and the length is 12 centimeters, we can substitute these values into the formula:
36 = 2 * 12 + 2W
- Simplifying the equation, we have:
36 = 24 + 2W
- Subtracting 24 from both sides:
12 = 2W
- Dividing both sides by 2:
6 = W
Therefore, the width of the rectangle is 6 centimeters.
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