Consider the two rectangles below
a) Are the two rectangles similar? How do you know?
b) What is the ratio of the smaller perimeter to the largest perimeter?
c) What is the ratio of the smaller area to the larger area?
The ratio is 1:2
They are similar rectangles in the sense that the dimensions of larger are TWICE the smaller one.
Therefore the ratio of the area of the smaller to the larger is 1 / 2^2 =1:4