Question

Question 1

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

(a) Shapes 1, 3 and 4 have different areas and different perimeters
(b) Shapes 1 and 4 have the same areas as well as the same perimeters
(c) Shapes 1, 2 and 4 have the same areas
(d) Shapes 1, 3 and 4 have the same perimeters

Answer 1

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
$Area=18\times 1$
$=18squnits$

Shape 2



Perimeter = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 +1 + 1 + 1 + 1 + 1 +1 + 1 + 1
= 18 units
$Area=18\times 1$
$=18squnits$

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
$Area=16\times 1$
$=16squnits$

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
$Area=18\times 1$
$=18squnits$
So, only option (a) is false.