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This problem describes a square \( ABCD \) with side length 12, and points \( E \) and \( F \) located on side \( AB \). We are given that the length \( EB = 10 \), and we are asked to find the area of the shaded region.

### Step-by-step Solution:

1. **Identify the key elements**:
   - Since \( AB = 12 \) and \( EB = 10 \), it follows that \( AE = AB - EB = 12 - 10 = 2 \).
   - Since \( F \) lies on side \( AB \), the line \( EF \) is diagonal, and the region is shaded between the lines \( EF \) and \( AD \).

2. **Geometric reasoning**:
   - \( AE \) is the distance from \( A \) to \( E \), and \( EB \) is given as 10. Since the square has side 12, lines such as \( EF \) cut the figure into two triangular parts.

3. **Calculate the area of the shaded trapezoid**:
   - The shape of the shaded region is a trapezoid formed by diagonal lines.
   - First, calculate the area of triangle \( AEF \).
     - The height of the triangle is the distance from \( E \) to side \( AD \), which can be computed using properties of right triangles or basic trapezoid area formulas.

Using this information, we can infer the trapezoid's areas and relate it back to

Panjang sisi persegi ABCD adalah 12. Titik E terletak pada sisi AB dan titik F pada sisi AB. Jika EB = 10, maka luas daerah yang diarsir adalah ...

This geometry problem involves a square with side length 12 and points E and F located on side AB. Given that EB = 10, we calculate the area of the shaded trapezoid using basic geometric formulas.

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