1. **Problem:** Find the height of a rectangular prism given the lateral area and the perimeter of the base.
2. **Formula used:** The lateral area $L$ of a rectangular prism is given by:
$$L = P \times h$$
where $P$ is the perimeter of the base and $h$ is the height.
3. **Given:**
- Lateral area $L = 75$ m²
- Perimeter $P = 25$ m
4. **Find:** Height $h$
5. **Calculation:**
$$75 = 25 \times h$$
Divide both sides by 25:
$$\cancel{25} \times h = \frac{75}{\cancel{25}}$$
$$h = 3$$
6. **Answer:** The height of the rectangular prism is $3$ meters.
Rectangular Prism Height E76Ebc
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