Question 11 of 21intermediate🔍 AnalyzeShort Answer2 marks

What is the largest perimeter possible?

Correct Answer

The largest perimeter possible using 9 unit squares is 20 units.

Arrangement: All 9 squares arranged in a straight line (1×91 \times 9 formation).

Calculation: Perimeter = 2 × (1 + 9) = 20 units

Why it works: When arranged in a straight line, the shape has the most exposed edges. This arrangement maximizes the boundary length.

∴ The largest perimeter possible is 20 units.

Exercise: Making it 'More' or 'Less' | Q: 2 | (Page Page 17)
For More Understanding

Explanation

When 9 unit squares are arranged in a straight line (1×91 \times 9), the shape has the most exposed edges. The perimeter of this arrangement is 2 × (1 + 9) = 20 units. This arrangement maximizes the boundary length.

Solution Steps

  1. Arrange all 9 unit squares in a straight line (1×91 \times 9 formation)

  2. Calculate perimeter: Perimeter = 2 × (1 + 9) = 20 units

  3. The largest perimeter possible is 20 units

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