Question

how many times the area of square with side 3 cm will increase if side is double. and tripled

Answer 1

heya frnd!

here's ur answer...

let the side of the square be x.

area=side×side

=x×x

=x²

and if it's doubled then the side will be 2x.

area=side×side

=2x×2x

=4x²

no. of times the area increased if it's side is doubled=4x²/x²

=4

4 times it increased.

if it's tripled then it's side will be 3x.

area=side×side

=3x×3x

=9x²

no. of times area increased if it's side is tripled=9x²/x²

=9

hence, 9 times it's area increased if it's side is tripled.

hope this helps..!