8 square exercises and problems for you to practice. Solve these problems and exercises to reinforce your understanding of squares and their properties.
1. Area of a Square:
- Problem: A square garden has a side length of 12 meters. Calculate the area of the garden in square meters.
2. Perimeter of a Square:
- Problem: A picture frame is in the shape of a square. Each side of the frame is 18 inches long. Determine the perimeter of the picture frame.
3. Diagonal of a Square:
- Problem: Find the length of the diagonal of a square room with sides measuring 10 feet.
4. Side Length of a Square:
- Problem: If the area of a square field is 121 square yards, what is the length of each side?
5. Square and Rectangle Comparison:
- Problem: Compare the area of a square with a side length of 6 meters to the area of a rectangle with a length of 8 meters and a width of 6 meters. Which has a larger area?
6. Square Inside a Circle:
- Problem: A square is inscribed inside a circle with a radius of 5 inches. Calculate the side length of the square.
7. Square Perimeter and Area Ratio:
- Problem: If the perimeter of a square is 24 centimeters, find the ratio of its area to its perimeter.
8. Square and Diagonal Relationship:
- Problem: In a square, the length of the diagonal is 10 inches. Calculate the side length of the square.
Check Solutions.