Are any two regular polygons similar. the area of the smaller figure is about 390 cm^2. choose the best estimate of the area of the larger figure

The best estimate of the area of the larger figure is

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

so

we have

substitute

-----> the scale factor

step 2

Find the area of the larger figure

we know that

If two figures are similar, then the ratio of its  areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

so

we have

substitute and solve for x

w

step-by-step explanation:

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: