hey user!
your answer is here..
I don't think that the area of the rectangle will also double if it's sides are doubled.
let us check :D
given :-
length of the rectangle = 5cm
breadth of the rectangle = 3cm
area of the rectangle = l × b
= 5 × 3
= 15 cm²
if the sides of the rectangle is doubled, then the length of the side will be :-
length = 5 × 2 = 10cm
breadth = 3 × 2 = 6cm
area of new rectangle = l × b
= 10 × 6
= 60 cm²
now, double of 15cm² = 15 × 2 = 30cm²
and the area of new rectangle is 60cm²
hence the area won't be double.
cheers!!