Question

what happens to the area of a square if its perimeter is doubled​

Answer 1

Answer:

the area of a square is increased by 4 times

Step-by-step explanation:

here,

perimeter of a square=4a

when it is doubled

perimeter=8a

then the length of each side is 2a

so,

area of a square =[2a]whole square

                            =4a square        

hence

if the perimetre of a square is doubled the area increases by a times              

Answer 2

Let the side of square be 'x'

so perimeter = 4x

And area =x×x

When perimeter is double

Then peremeter =2×4x

=8x

So length ofeach side of square

=8x/4

=2x

So area will be= 2x×2x

=4x×x

So when perimeter of square is double then the area of square will increse 4 time