Question

The area of each square in the given figure is 4 cm2. The perimeter of the whole figure will be ___ cm. A

32 B

16 C

8 D

64 Solution

The correct option is A 32 Area of square = side × side ∴ side × side = 4 cm2 ⇒ side = 2 cm Now, looking at the figure we can say that the length and breadth of the whole figure is the sum of side lengths of four small squares. Hence, the length of the figure = 4 × 2 cm = 8 cm And breadth of the figure = 4 × 2 cm = 8 cm Length = Breadth  ⇒ The given figure is a square with side length 8 cm. ∴ Perimeter of the bigger square = 4 × side = 4 ×8 = 32 cm Mathematics

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