Question

What happens to the area of a square if it's side is doubled or halved?

Answer 1

Double: Area becomes quadruple

Halved: Area becomes 1/4th

Answer 2

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we know that :

Area of square = a ×a  = a² sq. unit 

Case (1st) 

if the length of side is halved 

=> side of square = a/2 

And

Area = (a/2)² = a²/4 

 

Area become one by fourth of Area when length of side is halved.

Case (2nd)

if length of side is doubled 

=> side = 2a 

=> Area of square = (2a)² = 4a²

Area become 4 times when side of square is doubled.