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How many squares are trimmed in this picture 

The image shows a grid of squares in a triangular arrangement, with part of the squares trimmed off. To calculate the number of trimmed squares, we need to assess the shape and dimensions of the grid.

From observation, the grid appears to consist of a right triangle with a base and height of 5 full squares each. The diagonal line cuts through the squares along the hypotenuse of the triangle.

Since each full row starts with whole squares but ends with partial squares trimmed by the diagonal, let's calculate how many squares are trimmed:

1. First row: 1 square (fully included).
2. Second row: 2 squares, with 1 trimmed.
3. Third row: 3 squares, with 1 or 2 trimmed.
4. Fourth row: 4 squares, with 1 or 2 trimmed.
5. Fifth row: 5 squares, with 1 trimmed.

We can conclude that a portion of squares in rows 2 through 5 are trimmed. These correspond to the squares that are cut by the diagonal of the right triangle. Based on this, there are 5 squares that are trimmed.

Would you like any further details or have questions on this? 

Here are some follow-up questions:
1. How can we generalize the pattern for calculating trimmed squares in any similar right-angled triangular grid?
2. How would you calculate the area of the triangle shown in the grid?
3. What would be the total number of squares in this grid if no trimming occurred?
4. Can the diagonal trimming be related to the concept of slope in geometry?
5. How many full squares remain untrimmed in this image?

**Tip:** When working with geometric shapes, look for symmetry or repeating patterns to simplify counting or measurements!

How many squares are trimmed in this picture?

This problem involves counting the number of squares trimmed in a triangular grid arrangement. Learn how to approach the problem using geometric principles, including identifying trimmed areas and using the properties of right triangles. Suitable for Grades 6-8.

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