Question

What will happen to the area of a square if its side is:
(i) doubled
(ii) halved

Answer 1

if the length of its side is doubled then the area will get 4 times

and if the length of its side is halved then area will get 1/4 times

Answer 2

Answer:

(i) area will become 4 times.

(ii) area will become 1/4 times.

Step-by-step explanation:

If the length of a side of a square is x units, then the area of the square is given by (x.x) =x² square units.

(i) If the length of the square is doubled i.e. it is made to be 2x units, then the area of the final square will be (2x)(2x)=4x² square units.  

Hence, the area of the final square becomes 4 times the area of the original square. (Answer)

(ii) If the length of the square is halved i.e. it is made to be x/2 units, then the area of the final square will be (x/2)(x/2)=x/4² square units.  

Hence, the area of the final square becomes 1/4 times the area of the original square. (Answer)