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Question
The side of a square is 5 cm. How many times does the area increase, if the side of the square is doubled?
Solution
Side of the square = 5 cm
∴ Area of the square = Side × Side
= 5 cm × 5 cm = 25 cm2 ......(1)
Side of a new square = 2 ......(Side of the given square)
= 2 × 5 cm = 10 cm
∴ Area of the new square = side × side = 10 cm × 10 cm
= 100 cm2 ......(2)
Thus, (1) and (2) shows that the area will be increased by 4 times.
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