The perimeter of a rectangle with length 16 cm measures 46 cm. Find its breadth.

Answer

To find the breadth of the rectangle, we can use the formula for the perimeter of a rectangle. The perimeter (P) is given by the formula:

\[ P = 2 \times (Length + Breadth) \]

Given:
- Length (L) = 16 cm
- Perimeter (P) = 46 cm

We need to find the breadth (B).

### Step 1: Write the formula for the perimeter
We start with the formula for the perimeter of a rectangle:

\[ P = 2 \times (L + B) \]

### Step 2: Substitute the known values into the formula
Now, we can substitute the known values into the formula:

\[ 46 = 2 \times (16 + B) \]

### Step 3: Simplify the equation
Next, we simplify the equation:

\[ 46 = 2 \times 16 + 2 \times B \]
\[ 46 = 32 + 2B \]

### Step 4: Isolate the term with B
Now, we will isolate the term with B by subtracting 32 from both sides:

\[ 46 - 32 = 2B \]
\[ 14 = 2B \]

### Step 5: Solve for B
Finally, we divide both sides by 2 to find the breadth:

\[ B = \frac{14}{2} \]
\[ B = 7 \text{ cm} \]

### Conclusion
The breadth of the rectangle is 7 cm.

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