Answer:
The ratio of the areas is equal to the ratio of the lengths squared
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
In this problem
If the lengths of the sides of a square are multiplied by 1.2
then
the scale factor is 1.2
Remember that the ratio of the side lengths is equal to the scale factor
so
The ratio of the side lengths is equal to 1.2
and
The ratio of the areas is equal to the scale factor squared
so
The ratio of the areas is equal to 1.2^2
therefore
The ratio of the areas is equal to the ratio of the lengths squared
