The polygons in each pair are similar. Find the missing side length and show your work for full credit.

Let missing one be x

If both are similar

12

Step-by-step explanation:

The sides measuring 20 and 15 are corresponding sides.

The sides measuring 16 and ? are corresponding sides.

20/15 = 16/?

20? = 15 * 16

20? = 240

? = 12

12

Step-by-step explanation:

If you flip the polygon on the right so it looks like the polygon on the left, the scale factor for the small polygon to the big polygon is 32/40 or 4/5.

Now use that scale factor, 4/5, to find the missing length

4/5 = ?/15

5*3 = 15 so 4*3 = ?

? = 12

Let missing side be x

If both polygons are similar

Let missing one be x

If both are similar

If polygons are similar ratio of sides will be same

If both are similar ratio of sides will be same

C. 15

Step-by-step explanation:

If B's side length is 20, that means in the ratio 3:4 the 4 represents B's side length.

Multiply both sides of the ratio by 5:

15: 20

The answer is 15.

12

Step-by-step explanation:

If you flip the polygon on the right so it looks like the polygon on the left, the scale factor for the small polygon to the big polygon is 32/40 or 4/5.

Now use that scale factor, 4/5, to find the missing length

4/5 = ?/15

5*3 = 15 so 4*3 = ?

? = 12

12

Step-by-step explanation:

The sides measuring 20 and 15 are corresponding sides.

The sides measuring 16 and ? are corresponding sides.

20/15 = 16/?

20? = 15 * 16

20? = 240

? = 12