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Question
If the side of a square is tripled, how many times will its area be as compared to the area of the original square?
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Solution
Let the length of each side of the original square = s
Area of original square = side × side = s2
When the side of the square is tripled, then length of each side of new square is 3s
Area of new square = side × side
= 3s × 3s
= 9s2
= 9 × s2
= 9 × area of original square ... [∵ area of original square = s2]
Hence, the area of the new square will become nine times the area of the original square.
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