Question

the area and the perimeter of square are A and P. Ifthe sides are doubled, the area becomes A' and perimeter,P'. find

a) A':A b)P':P

Answer 1

Hi!

Here is the answer to your question.

Let the initial side of given square be ‘a’

Area = a²

A = a²

Perimeter = 4a

P = 4a

Now the side has been doubled:

Area, A' = (2a)² = 4a²

Perimeter, P' = 4 (2a) = 8a

∴ A' : A = 4a²: a² = 4: 1

P': P = 8a: 4a = 8:4 = 2: 1

Hope! You got the answer.

Cheers!