Question

Observe the shapes 1, 2, 3 and 4 in the figures. Which of the following statements is not correct?

Options

• Shapes 1, 3 and 4 have different areas and different perimeters.

• Shapes 1 and 4 have the same area as well as the same perimeter.

• Shapes 1, 2 and 4 have the same area.

• Shapes 1, 3 and 4 have the same perimeter.

Answer 1

Shapes 1, 3 and 4 have different areas and different perimeters.

Explanation:

(a) Shape 1

Perimeter = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

= 22 units

Area = 18 × 1

= 18 sq.units

(b) Shape 2

Perimeter = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

= 18 units

Area = 18 × 1

= 18 sq.units

(c) Shape 3

Perimeter = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1+ 1

= 22 units

Area = 16 × 1

= 16 sq.units

(d) Shape 4

Perimeter = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

= 22 units

Area = 18 × 1

= 18 sq.units