In this figure, if the sidelength of the square is doubled, what is - Figure it out - Page 150-152

part 2 - Question 5 - Figure it out - Page 150-152 - Chapter 7 Class 8 - Area (Ganita Prakash II) - Class 8 (Ganita Prakash - 1, 2 & Old NCERT)

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Question 5 In this figure, if the sidelength of the square is doubled, what is the increase in the areas of the regions 1, 2 and 3? Give reasons.Let side of square be a Thus, Original area of square = a × a = a2 If side of square is doubled New Side = 2a And, New Area = 2a × 2a = 4a2 Thus, if we double the side length of a square, its area gets 4 times bigger Since the whole square becomes 4 times larger, every single region inside it (Regions 1, 2, and 3) also becomes exactly 4 times larger.

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