(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 +s) = s
New area = s s = s
This means that the area becomes times that of the original area.