Question

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

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

Answer 1

(i) Let the original side of the square be s.
Original area = s $\times$ s = s²
If the side of a square is tripled, new side will be equal to 3s.
New area = 3s $\times$ 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 $\times$s = s²
If the side of a square is increased by half of it, new side = (s +$\frac{1}{2}$s) = $\frac{3}{2}$s
New area = $\frac{3}{2}$s $\times$$\frac{3}{2}$s = $\frac{9}{4}$s
This means that the area becomes $\frac{9}{4}$ times that of the original area.