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The question asks to find the fraction representing the area of the unshaded region in the square. Let's break it down:

1. **The square** has an area of 1 unit, as indicated in the problem.
2. **The triangle** is inscribed inside the square, and the shaded region surrounds it. We need to find the area of the triangle to determine the unshaded portion.

### Step-by-step approach:

- The square has side lengths of 4 units (as shown in the figure).
- The triangle is formed by connecting points on the square's edges.
  
If we calculate the area of the triangle, we can subtract it from the total area of the square to find the shaded region and then determine the unshaded part.

Let me calculate this for you based on the given image geometry.In the given image, the square has side lengths of 4 units. The triangle appears to be formed by connecting points along the edges of the square, dividing the square into a triangle and shaded regions.

### Step-by-step solution:

1. **Area of the square**: 
   Since each side of the square is 4 units, the area of the square is:
   \[
   \text{Area of square} = 4 \times 4 = 16 \text{ square units}.
   \]
   But the problem mentions that the area of the square is taken as 1 unit, so we'll work proportionally in terms of fractions.

2. **Area of the triangle**: 
   From the image, the triangle seems to be a right-angled triangle. To estimate its area, let’s assume that the triangle is formed by connecting midpoints of two adjacent sides and one vertex. This gives us the following:
   - The base of the triangle is half of the square's side, i.e., 2 units.
   - The height is also half of the square’s side, i.e., 2 units.

   The area of the triangle is:
   \[
   \text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 2 \times 2 = 2 \text{ square units}.
   \]

3. **Shaded region**:
   The area of the shaded region is the total area of the square minus the area of the triangle:
   \[
   \text{Shaded area} = 16 - 2 = 14 \text{ square units}.
   \]

4. **Fraction of unshaded region**:
   Since the total area is considered 1 unit, the fraction of the unshaded region is the triangle's area relative to the total area:
   \[
   \frac{2}{16} = \frac{1}{8}.
   \]
   Therefore, the unshaded region’s fraction is \(\frac{1}{8}\), which doesn’t directly match the provided options, but this might be due to the problem's design (possibly from an inaccurate assumption about triangle vertices).

Would you like more clarification on any part of this problem or the process?

Here are five related questions you might explore:
1. How do we calculate the area of different types of triangles?
2. How can we apply the Pythagorean theorem in such a geometry problem?
3. What other methods can be used to estimate the area of irregular shapes?
4. How do we find the centroid of a triangle within a square?
5. How do transformations like reflection affect the area of figures?

**Tip:** When dealing with area problems involving triangles, always check if the triangle is right-angled for easier calculations.

Persegi pada gambar di bawah ini memiliki luas satuan luas. Pecahan yang menyatakan luas dari daerah yang tidak diarsir adalah….

Learn how to calculate the area of the unshaded region in a square when a triangle is inscribed inside it. This geometry problem involves calculating the areas of squares and triangles, and understanding how fractions relate to area. Suitable for students in Grades 7-9.

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