Question

The side of a square is $5cm$. How many times does the area increase, if the side of the square is doubled? $50$.

Answer 1

Let, the side of square is $A=5cm$
$\therefore$ Area of square $=A^2=(5cm{)}^2=25c{m}^2.....(i)$
Now,
Let, the side of new square is $B=2Acm=2\times 5cm=10cm$
$\therefore$ Area of square $=B^2=(10cm{)}^2=100c{m}^2....(ii)$
Thus, (i) and (ii) shows that the area will increased by $4$ time.