Question 12 of 21intermediate✨ CreateShort Answer2 marks

Make a figure with a perimeter of 18 units.

Correct Answer

A figure with perimeter 18 units can be made by arranging 9 squares in specific configurations.

Example: A 2×22 \times 2 square attached to a 1×51 \times 5 row, sharing exactly one edge, gives perimeter 18 units.

Exercise: Making it 'More' or 'Less' | Q: 3 | (Page Page 17)
For More Understanding

Explanation

Students need to experiment with different arrangements of 9 unit squares to find configurations that give a perimeter of 18 units. An L-shape with 9 squares gives a perimeter of 20 units, and a 2×42 \times 4 rectangle with one square attached gives 14 units. A valid configuration is a 2×22 \times 2 square attached to a 1×51 \times 5 row sharing exactly one edge, which yields 9 shared edges and a perimeter of 18 units.

Solution Steps

  1. Use 9 squares to construct the figure.

  2. Arrange the squares such that there are exactly 9 shared edges between adjacent squares.

  3. A 2×22 \times 2 square attached to a 1×51 \times 5 row, sharing exactly one edge, achieves a perimeter of 18 units.

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