PLOT is a rectangel with length 22 cm and breadth 16 cm. PO is a diagonal of this rectangel. Find the ara of the `Delta PLO.`

Answer

To find the area of triangle PLO in rectangle PLOT, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the rectangle**:
The rectangle PLOT has a length of 22 cm and a breadth of 16 cm.

2. **Understand the triangle PLO**:
Triangle PLO is formed by the diagonal PO of the rectangle and the sides PL and LO. Since PLOT is a rectangle, angle PLO is a right angle (90 degrees).

3. **Use the formula for the area of a triangle**:
The area \( A \) of a triangle can be calculated using the formula:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]

4. **Identify the base and height**:
In triangle PLO, we can take the base as the breadth of the rectangle (16 cm) and the height as the length of the rectangle (22 cm).

5. **Substitute the values into the formula**:
\[ A = \frac{1}{2} \times 16 \, \text{cm} \times 22 \, \text{cm} \]

6. **Calculate the area**:
First, calculate \( 16 \times 22 \):
\[ 16 \times 22 = 352 \]
Now, substitute this back into the area formula:
\[ A = \frac{1}{2} \times 352 \, \text{cm}^2 = 176 \, \text{cm}^2 \]

7. **Conclusion**:
Therefore, the area of triangle PLO is \( 176 \, \text{cm}^2 \).