Question

Question 49

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

Answer 1

Given, side of square = 5 cm

$\therefore$ Area of square = Side$\times$Side = 5 $\times$5

= 25 sq cm

Now, according to question,

New side = 2 $\times$Old side

= 2$\times$5 = 10 cm

$\therefore$ Area of new square = Side$\times$Side = 10 $\times$10

= 100 sq cm

$\therefore$ $\frac{\text{Area of new square}}{\text{Area of old square}}=\frac{100}{25}$ = 4

Hence, the area of new square is increased four times