There are two squares. Their lengths at the ratio 2:3, what is the simplified ratio between their areas?

Answer 1

a1 = side length of first square

a2 = side length of second square

A1 = area of first square

A2 = Area of second square

a1 / a2 = 2 / 3 Multiply both sides by a2

a1 = 2 a2 / 3 = ( 2 / 3 ) a2

A1 / A2 = a1² / a2² =

[ ( 2 / 3 ) a2 ]² / a2² =

( 4 / 9 ) a2² / a2² = 4 / 9