The length of a rectangle is three times its width and its perimeter is `96 m`. The length of the rectangle is

Answer

To find the length of the rectangle, we can follow these steps:

### Step 1: Define the Variables
Let the width of the rectangle be \( W \) meters. According to the problem, the length \( L \) is three times the width. Therefore, we can express the length as:
\[ L = 3W \]

### Step 2: Use the Perimeter Formula
The formula for the perimeter \( P \) of a rectangle is given by:
\[ P = 2(L + W) \]
We know from the problem that the perimeter is \( 96 \) meters. So we can set up the equation:
\[ 2(L + W) = 96 \]

### Step 3: Substitute the Length in the Perimeter Equation
Now, we can substitute \( L \) with \( 3W \) in the perimeter equation:
\[ 2(3W + W) = 96 \]

### Step 4: Simplify the Equation
Combine like terms inside the parentheses:
\[ 2(4W) = 96 \]

### Step 5: Divide Both Sides by 2
To isolate \( W \), divide both sides of the equation by \( 2 \):
\[ 4W = 48 \]

### Step 6: Solve for Width
Now, divide both sides by \( 4 \):
\[ W = 12 \]

### Step 7: Find the Length
Now that we have the width, we can find the length using the equation \( L = 3W \):
\[ L = 3 \times 12 = 36 \]

### Conclusion
The length of the rectangle is \( 36 \) meters.

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