Respuesta :
The ratio of sides is, 8:10 = 4:5
squaring it yields, 16:25
the ratio of the area is 16:25
squaring it yields, 16:25
the ratio of the area is 16:25
Answer:
The ratio of the areas is [tex]\frac{16}{25}[/tex]
Step-by-step explanation:
we know that
if two figures are similar, then the ratio of its areas is equal to the scale factor squared
and
the scale factor is equal to the ratio of its corresponding sides
Let
z------> the scale factor
In this problem we have
[tex]z=\frac{8}{10}=\frac{4}{5}[/tex] -------> scale factor
The ratio of the areas is equal to
[tex]z^{2}=(\frac{4}{5})^{2}=\frac{16}{25}[/tex]