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Question

# Which of the following statement(s) is/are true for the above two figures if each small square has side of 1 unit?

A
Perimeter of A = Perimeter of B
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B
Area of A = Area of B
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C
Perimeter of A < Perimeter of B
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D
Area of A > Area of B
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Solution

## The correct option is C Perimeter of A < Perimeter of B In figure A: There are 3 squares along the length and 2 squares along the breadth. Perimeter of figure A = length + breadth + length + breadth = 3 + 2 + 3 + 2 = 10 cm In figure B: There are 6 squares along the length and 1 square along the breadth. Perimeter of figure B = length + breadth + length + breadth = 6 + 1 + 6 + 1 = 14 cm ∴ Perimeter of A < Perimeter of B Also, area is the total number of boxes contained by the figure, or length × breadth In figure A: Number of squares = 6 Area = 6 square units or 3 × 2 = 6 square units In figure B: Number of squares = 6 Area = 6 square units or 6 × 1 = 6 square units ∴ Area of figure A = Area of figure B

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