Question

if the sides of a square are doubled, what will be the effect on its perimeter and area? ( solve the question in algebraic form)​

Answer 1

Answer:

then new length of side would be: a+a=2*a(or two times of original length) . (2*a)+(2*a)+(2*a)+(2*a)=8*a(eight times of a). ... Hence we can conclude that If the side of square is doubled ,its perimeter would also be doubled.

Answer 2

Explanation:

⇒ Effect on its Perimeter:

Perimeter of a square =  4×a ---- ( where a is side of a square. )  

Now if side of square is doubled say a+a =  2a  

Then perimeter becomes 4×2a = 8a.  

That means it's get doubled 2× 4a

For eg,  

If a square has side = 9cm  

It's perimeter (P1)= 4× 9 = 36cm  

Now,

If the side is doubled = 18cm  

New perimeter (P2)= 4× 18 = 72cm  

Now you can see that P2 = 2 × P1.

⇒ Effect on its Area:

Let the side of a square be a.

Since the side of a square is doubled.

New side = 2a.

Area of the square = 2a²  = 4a²

Area of the square becomes 4 times .