Relate the thermal coefficient of linear expansion, `alpha`, the the thermal coefficient of area expansion `beta`.

Explanation

To relate the thermal coefficient of linear expansion, denoted as \( \alpha \), to the thermal coefficient of area expansion, denoted as \( \beta \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Definitions**:
- The thermal coefficient of linear expansion \( \alpha \) is defined as the fractional change in length per degree change in temperature.
- The thermal coefficient of area expansion \( \beta \) is defined as the fractional change in area per degree change in temperature.

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