Solve for the variable (All figures are similar):

Figure 1: 8m-side 1 and 6m-side 2.
Figure 2: 20m-side 1 and r meters-side 2.
r=?
Can you please help me?
Thank you.

20/8=r/6 solve for r.

Thank you for your help.

Certainly! To solve for the variable "r," we will use the concept of similarity between figures.

Figures are similar if their corresponding sides are in proportion. Since Figure 1 and Figure 2 are similar, we can set up a proportion using the corresponding sides:

Side 1 of Figure 1 / Side 1 of Figure 2 = Side 2 of Figure 1 / Side 2 of Figure 2

Substituting the given values:

8m / 20m = 6m / r

To solve for "r," we can cross-multiply and solve the resulting equation:

8m * r = 20m * 6m

8r = 120

Dividing both sides by 8 to isolate "r":

r = 120 / 8

r = 15 meters

Therefore, the value of "r" is 15 meters.