Question

if the ratio of sides of two squares are 4:9, find the ratio of areas.

Answer 1

Ratios of two squares = 4:9
Let one square side1 be 4x and another side2 is 9x
Area of square = side ×side
RATIOS:–
= Area of first square/area of second square
=side1×side1 / side2×side2
=(4x)²/(9x)²
= 16x²/ 81x²
x²,x² get cancelled
=16:81 is the answer

Answer 2

The ratio of the sides of the two squares
= 4/9
Let the sides of the square be 4x and 9x

Then the area of the squares will be (4x)^2 and (9x)^2

Ratio of the area
= (4x)^2/(9x)^2
=16x^2/81 x^2
=16/81