Question

If perimeter of a square is tripled, then area will be?

Answer 1

Hi ,

i ) let side of a square = a

Perimeter = 4a----( 1 )

Area ( A )= a² -----( 2 )

ii ) if the perimeter is tripled,

New perimeter = 3 × ( 1 )

= 3 × 4a

= 12a

Therefore ,

Side of the new square

= ( New perimeter ) /4

= 12a/4

= 3a

Area of new square = (3a)²

= 9a²

= 9 × a²

= 9 × A

[ Since from ( 2 ) ]

= 9 × area of first square

Therefore,

If perimeter of a square is tripled ,

then area will be 9 times of the first

square area.

I hope this helps you.

:)