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Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm x 4 cm eachFolding operation 1: The sheet is folded into half by joining the short edges of the current shape.Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.Folding operation 1 is carried out on Sheet M three times.Folding operation 2 is carried out on Sheet N three times.The ratio of perimeters of the final folded shape of Sheet N to the final folded shape of Sheet M is ______.
Considering the two rectangular sheets M and NOperation 1 on Sheet MOperation 2 on Sheet N6 cm x 4 cm6 cm x 4 cm3 cm x 4 cm6 cm x 2 cm3 cm x 2 cm6 cm x 1 cm1.5 cm x 2 cm6 cm x 0.5 cm Now, Perimeter of M = 2 × (1.5 + 2) = 7 cmPerimeter of N = 2 × (6 + 0.5) = 13According to question,Perimeter of N : Perimeter of M = 13 : 7? Final folded shape of Sheet M : Final folded shape of Sheet N = 13 : 7Confusion PointsWe need to check the shorter/ longer edge after every operation, as they will change after the folding.For example in sheet M, Before the first operation, the shorter side would be the breadth (4 cm)After first operation, the shorter side would be the length (3 cm)After second operation, the shorter side would be again its breadth (2 cm).
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