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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.
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Solution
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
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