Similar Polygons Perimeter and Area

What is the ratio of the perimeters of two similar figures?

• Ratio of corresponding side lengths

• Ratio of volumes.

• Ratio of areas.

• Ratio of corresponding angles.

Three sides of a triangle are 12, 16, and 22. The biggest side of another similar triangle is 176. What is the perimeter of the bigger triangle?

• 320

• 360

• 400

• 440

• Perimeter:  $\frac{4}{9}$     ; Area:  $\frac{2}{3}$ 

• Perimeter:  $\frac{2}{3}$    ; Area:  $\frac{2}{3}$  

• Perimeter:  $\frac{4}{9}$     ; Area:  $\frac{4}{9}$  

If the ratio of corresponding sides in two similar polygons is 1:2, and one side of the first polygon is 10 units, what is the length of the corresponding side in the second polygon?

• 20

• 30

• 15

• 5

Find the ratios (red to blue) of the perimeter and the area.

• Perimeter: 20/54
  Area: 58/485
  Area:

• Perimeter: 3/4
  Area: 9/16

• Perimeter: 58/299
  Area: 57/383

• Perimeter: 5/10
  Area: 19/46

The triangles are similar and the perimeter of SRT = 15. What is the scale factor between the two?

• ⅘

• ⅚

• ½

• ¾

Find the perimeter of the large triangle. (First find the missing side length)

• 24

• 36

• 12

• 54

Find the perimeter of the large triangle.

• 24

• 36

• 12

• 54

△BNV ~ △BRG, BR = 4x + 7, and BG = 6x - 12. Find the perimeter of △BRG.

What is the ratio of the side lengths of XYZ:ABC?

• 25

• 1.5

• 2

• 2.5