https://file.aiquickdraw.com/mathbot/file/1726819769409c70qgk86.jpg

The problem asks to find what portion of the triangle's area is colored, expressed as a decimal.

To solve this, we need to follow these steps:

1. **Determine the area of the entire triangle**:
   - The triangle appears to be a right triangle. We need to identify its base and height from the grid points in the image.

2. **Determine the area of the red-colored rectangle**:
   - Similarly, we will measure the base and height of the red rectangle.

3. **Find the ratio of the red area to the total triangle's area**:
   - Once we have the areas of both the triangle and the colored region, we divide the area of the red region by the total area of the triangle to get the fraction of the triangle that is colored.

Let me first calculate the areas based on the image.

### From the grid points in the image:
- The triangle has a base of 6 units and a height of 4 units.
- The red rectangle has a base of 2 units and a height of 1 unit.

#### Step 1: Area of the triangle:
The area of a triangle is given by:
\[
\text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height}
= \frac{1}{2} \times 6 \times 4 = 12 \, \text{square units}.
\]

#### Step 2: Area of the red rectangle:
The area of the rectangle is:
\[
\text{Area of rectangle} = \text{base} \times \text{height}
= 2 \times 1 = 2 \, \text{square units}.
\]

#### Step 3: Fraction of the triangle that is colored:
Now, to find the fraction of the triangle that is colored, we divide the area of the red rectangle by the area of the triangle:
\[
\text{Fraction colored} = \frac{2}{12} = \frac{1}{6} \approx 0.1667.
\]

So, approximately **16.67%** of the triangle is colored.

Would you like any further details or have any questions? Here are some related problems:

1. What would happen to the fraction if the red rectangle's dimensions changed?
2. How would the solution differ if the triangle were not a right triangle?
3. Can you compute the area for irregular shapes in similar problems?
4. How would you generalize this process to find the area of multiple colored sections?
5. What would be the fraction if the base and height of the triangle were doubled?

**Tip**: Always ensure the units are consistent when calculating areas.

Hvor stor en del af figuren er farvet? Svar med decimaltal.

Learn how to calculate the fraction of a right triangle that is colored. This geometry problem involves calculating the area of a triangle and a rectangle and determining the portion of the triangle that is colored, expressed as a decimal.

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