Respuesta :

It is 8

As a result of multiply 1.6 times 6, we would also need to apply it to the side as well, and therefore multiply it.

ANSWER

[tex]8 {cm}^{2} [/tex]

EXPLANATION

First let us determine the scale factor of the enlargement

[tex]k = \frac{image \: length}{corresponding \: object \: length} [/tex]

[tex]k = \frac{8}{1.6} [/tex]

[tex]k = 5[/tex]

This implies that that, the corresponding length of the smaller rectangle is

[tex]l = \frac{25}{5} = 5cm[/tex]

The area of the smaller rectangle is

[tex] = 5 \times 1.6 = 8 {cm}^{2} [/tex]