Question:

The width of a rectangle is \( \frac{2}{3} \) times its length. If the length is calculated to be 9, what is the value of the perimeter for this rectangle?

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The perimeter of a rectangle is twice the sum of its length and width.
Updated On: Sep 30, 2025
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Solution and Explanation

Step 1: Define the length and width.
Let the length of the rectangle be \( L = 9 \). The width is \( W = \frac{2}{3} \times 9 = 6 \).
Step 2: Use the perimeter formula.
The perimeter \( P \) of a rectangle is given by: \[ P = 2(L + W). \]
Step 3: Calculate the perimeter.
\[ P = 2(9 + 6) = 2 \times 15 = 30. \]
Step 4: Conclusion.
Thus, the perimeter is 30 units.
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