A rectangle measure 30 cm by 25 cm. A diagonal divides the rectangle into two triangles. Find the area of each triangle.

Answer

To find the area of each triangle formed by the diagonal of a rectangle measuring 30 cm by 25 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the rectangle**:
The rectangle has a length of 30 cm and a width of 25 cm.

2. **Understand how the diagonal divides the rectangle**:
A diagonal divides the rectangle into two equal triangles. Each triangle will have the same area.

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

4. **Assign the base and height**:
In this case, we can take the base as the length of the rectangle (30 cm) and the height as the width of the rectangle (25 cm).

5. **Calculate the area of one triangle**:
Substitute the values into the formula:
\[ \text{Area} = \frac{1}{2} \times 30 \, \text{cm} \times 25 \, \text{cm} \]
\[ \text{Area} = \frac{1}{2} \times 750 \, \text{cm}^2 \]
\[ \text{Area} = 375 \, \text{cm}^2 \]

6. **Determine the area of both triangles**:
Since the diagonal divides the rectangle into two equal triangles, the area of each triangle is:
\[ \text{Area of each triangle} = 375 \, \text{cm}^2 \]

### Final Answer:
The area of each triangle is **375 cm²**.