Determine the number of squares (of any size) in the figure.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Determine the number of squares (of any size) in the figure
![**Determining the Number of Squares in a Geometric Figure**
**Task:**
Determine the number of squares (of any size) in the figure provided.
**Figure Description:**
The figure is composed of a grid-like pattern forming a symmetrical cross shape. It consists of smaller squares arranged to create larger squares. The pattern is as follows:
- A central 3x3 square grid.
- The top, bottom, left, and right are extended with 2x2 square grids forming the arms of the cross shape.
When exploring the number of squares, consider the following:
1. **1x1 Squares:** Count all the small individual squares.
2. **2x2 Squares:** Identify all possible 2x2 squares.
3. **3x3 Squares:** Ensure to count the larger square formed by the 3x3 grid in the middle if applicable.
4. **Other sizes:** Consider additional larger sizes possible by overlapping smaller squares.
**Conclusion:**
Calculate the total number of squares considering all possible combinations of sizes.
**The total number of squares is:** [Provide the calculated number based on exploration.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75e985c0-4ecb-43d4-840b-c5540151d9b9%2Fd08911fd-e7dd-4c7a-90a3-94f9c39bba84%2F25q3w537_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determining the Number of Squares in a Geometric Figure**
**Task:**
Determine the number of squares (of any size) in the figure provided.
**Figure Description:**
The figure is composed of a grid-like pattern forming a symmetrical cross shape. It consists of smaller squares arranged to create larger squares. The pattern is as follows:
- A central 3x3 square grid.
- The top, bottom, left, and right are extended with 2x2 square grids forming the arms of the cross shape.
When exploring the number of squares, consider the following:
1. **1x1 Squares:** Count all the small individual squares.
2. **2x2 Squares:** Identify all possible 2x2 squares.
3. **3x3 Squares:** Ensure to count the larger square formed by the 3x3 grid in the middle if applicable.
4. **Other sizes:** Consider additional larger sizes possible by overlapping smaller squares.
**Conclusion:**
Calculate the total number of squares considering all possible combinations of sizes.
**The total number of squares is:** [Provide the calculated number based on exploration.]
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