Question

The perimeter of two squares are in a ratio of 4 &9 . what is the ratio between the areas of the two squares? A) 2 to 3 B)4 to 9 C) 16 to 27 D) 16 to 81

Answer 1

hey the answer is D) 16 to 81
area of square = a²
so 4² = 16 and
9² = 81

Answer 2

Let the common multiple be x .

Perimeter of square 1 = 4 x

Perimeter of square 2 = 9 x


Ratio.

square 1 / square 2 = 4x / 9x

4 × side 1 / 4 × side 2 = 4x / 9x

side 1 / side 2 = 4/9

side 1 = 4 and side 2 = 9

Ratio of area = (side 1)²/ (side 2)²
= (4)²/(9)²
= 16 / 81


Therefore correct option is D .

HOPE IT HELPS !!!!!!!