Find the height of a triangular region having an area of `224 m^(2)` and base 28 m. 

Answer

To find the height of a triangular region with a given area and base, we can use the formula for the area of a triangle:

### Step-by-Step Solution:

1. **Write down the formula for the area of a triangle**:
\[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \]

2. **Substitute the known values into the formula**:
We know the area is \(224 \, m^2\) and the base is \(28 \, m\).
\[ 224 = \frac{1}{2} \times 28 \times \text{Height} \]

3. **Multiply both sides by 2 to eliminate the fraction**:
\[ 224 \times 2 = 28 \times \text{Height} \]
\[ 448 = 28 \times \text{Height} \]

4. **Divide both sides by 28 to solve for Height**:
\[ \text{Height} = \frac{448}{28} \]

5. **Calculate the height**:
\[ \text{Height} = 16 \, m \]

### Final Answer:
The height of the triangular region is \(16 \, m\).

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