5
Question
A square paper of side length “A” is being cut along the dotted lines as shown. The increase in perimeter considering the perimeter for all the new surface after cutting is:
A square paper of side length “A” is being cut along the dotted lines as shown. The increase in perimeter considering the perimeter for all the new surface after cutting is:
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Solution
The correct option is D 3A
In the given figure, the white square shows the initial shape of the paper.
Perimeter of white square = 4 × A = 4A
The coloured figures show the final shape of the paper.
Perimeter of red rectangle = 2(A + 0.5A) = 3A
Perimeter of yellow square = 4 × (0.5A) = 2A
Perimeter of blue square = 4 × (0.5A) = 2A
Total perimeter = 3A + 2A + 2A = 7A
Difference = 7A - 4A
Therefore, the increase in perimeter is 3A.
In the given figure, the white square shows the initial shape of the paper.
Perimeter of white square = 4 × A = 4A
The coloured figures show the final shape of the paper.
Perimeter of red rectangle = 2(A + 0.5A) = 3A
Perimeter of yellow square = 4 × (0.5A) = 2A
Perimeter of blue square = 4 × (0.5A) = 2A
Total perimeter = 3A + 2A + 2A = 7A
Difference = 7A - 4A
Therefore, the increase in perimeter is 3A.
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