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Question

What will happen to the area of a square if its side is

(i) Tripled
(ii) increased by half of it.

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Solution

(i) Let the original side of the square be s.
Original area = s × s = s2
If the side of a square is tripled, new side will be equal to 3s.
New area = 3s × 3s = 9s2
This means that the area becomes 9 times that of the original area.
(ii) Let the original side of the square be s.
Original area = s ×s = s2
If the side of a square is increased by half of it, new side = (s +12s) = 32s
New area = 32s ×32s = 94s
This means that the area becomes 94 times that of the original area.

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