If a figure is dilated by a factor of 5/6 Area of a figure will change by a factor of

Given:

A figure is dilated by a factor of .

To find:

The factor by which the area of the figure will change.

Solution:

We know that, if a figure is dilated by a factor k then the area of that figure is change by a factor of k² .

A figure is dilated by a factor of .

So, .

The area of the figure will change by a factor of k² .

.

Therefore, the area of the figure will change by the factor of .