Question 1: Calculate the perimeter of a square with side length 7 cm.

Answer: 28

Question 2: Find the area of a square with a side length of 9 cm.

Answer: 81

Question 3: A square garden has an area of 144 m². What is the length of each side?

Answer: 12

Question 4: Construct a square on the grid with a side length of 4 units.

Answer: Students draw on grid

Question 5: Calculate the length of the diagonal in a square with side length 6 cm.

Answer: 6√2

Question 6: A square's perimeter is increased by 8 cm, and the new perimeter is 36 cm. What was the original side length?

Answer: 10

Question 7: A square-shaped picture frame has an area of 256 cm². If the width of the frame is 2 cm around the picture, what is the length of the outer square?

Answer: 18

Question 8: A square piece of fabric measures 50 cm on each side. How much fabric (area) is used?

Answer: 2500

Question 9: If a square has a diagonal of 10√2 cm, what is the length of each side?

Answer: 10

Question 10: Identify the common mistake: A student calculates the area of a square with side 8 cm as 64 cm². What is the mistake?

Answer: Incorrect calculation of area; area = side² = 8²=64, which is correct, so the mistake is in misinterpreting the question or calculation error when applying the formula.

Question 11: A square's side length is doubled. How does this affect its area?

Answer: The area becomes four times larger.

Question 12: Challenge: Prove that the area of a square with diagonals of length 12 cm is 72 cm².

Answer: Using the diagonal d, side s = d/√2 = 12/√2 = 6√2; Area = s² = (6√2)² = 36×2=72