A couch is 70cm wide and 175 cm long. Find its perimeter.

Answer

To find the perimeter of the couch, which is rectangular in shape, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the couch**:
- Width (Breadth) = 70 cm
- Length = 175 cm

2. **Recall the formula for the perimeter of a rectangle**:
The perimeter (P) of a rectangle is given by the formula:
\[ P = 2 \times (Length + Width) \]

3. **Substitute the values into the formula**:
- Length = 175 cm
- Width = 70 cm
\[ P = 2 \times (175 \, \text{cm} + 70 \, \text{cm}) \]

4. **Calculate the sum of the length and width**:
\[ 175 \, \text{cm} + 70 \, \text{cm} = 245 \, \text{cm} \]

5. **Multiply the sum by 2**:
\[ P = 2 \times 245 \, \text{cm} = 490 \, \text{cm} \]

6. **Conclusion**:
The perimeter of the couch is **490 cm**.