Question 10 of 21intermediate🔍 AnalyzeShort Answer2 marks

What is the smallest perimeter possible?

Correct Answer

Given: 9 unit squares

Arrangement: 3×33 \times 3 square formation

Calculation: Perimeter = 4×34 \times 3 = 12 units

Answer: The smallest perimeter possible is 12 units.

Reason: The 3×33 \times 3 square is the most compact shape with the smallest boundary. Any other arrangement will have a larger perimeter because more edges are exposed.

Exercise: Making it 'More' or 'Less' | Q: 1 | (Page Page 17)
For More Understanding

Explanation

When 9 unit squares are arranged to form a 3×33 \times 3 square, the shape is most compact with the smallest boundary. The perimeter of this square is 4×34 \times 3 = 12 units. Any other arrangement will have a larger perimeter because more edges are exposed.

Solution Steps

  1. Arrange all 9 unit squares in a 3×33 \times 3 square formation.

  2. Calculate perimeter = 4×34 \times 3 = 12 units.

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