https://file.aiquickdraw.com/mathbot/file/1726836844576ngqitssv.jpg

The image shows a rectangle composed of a 2x7 grid, with a portion of the rectangle shaded. The shaded part forms a triangle.

### Step-by-step analysis:
- The entire grid consists of \( 2 \times 7 = 14 \) square units.
- The triangle appears to cover half of the area in the right half of the rectangle, starting from the third square from the right.

Since the shaded area forms a right triangle, its area can be calculated as:
\[
\text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Here, the base and height of the triangle are each 7 units (the full width of the grid).

Thus, the area of the triangle is:
\[
\text{Area} = \frac{1}{2} \times 7 \times 2 = 7 \text{ square units.}
\]

Therefore, the area of the shaded part is **7 square units**.

Would you like more details on the calculation or have any questions?

### Related Questions:
1. How do you find the area of irregularly shaped regions in a grid?
2. Can the triangle's area be calculated differently if divided into smaller parts?
3. How does the grid's shape affect the calculation of the shaded area?
4. What is the difference between finding areas of triangles versus rectangles?
5. How would the area calculation change if the triangle were positioned differently?

**Tip:** For irregular shapes, breaking them down into standard geometric shapes (like triangles or rectangles) can simplify area calculations.

The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?

Learn how to calculate the area of a shaded right triangle in a 2x7 rectangle grid. This geometry problem demonstrates the use of the area formula for triangles, breaking down the steps for students in Grades 6-8.

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