Perimeter and Area of Similar Figures

Given polygons A and B are similar with corresponding dimensions shown, what is the missing dimension of polygon B?

• 4.1

• 16.7

• 3.3

• 11.1

The area of triangle A is 54 and triangle B is 150. What is the scale factor of A to B? 

• 9:25

• 27:75

• 3:5

• 25:9

Tags

CCSS.7.G.A.1

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. 

• Perimeter: 11/6
  Area: 36/121

• Perimeter: 11/6
  Area: 121/36

• Perimeter: 4/11
  Area: 144/25

• Perimeter: 4/11
  Area: 64/16

The two ratios are similar. Find the ratios (red to blue) of the perimeters and of the areas. 

• Perimeter: 4/6 
  Area: 25/64

• Perimeter: 4/16
  Area: 8/16

• Perimeter: 5/8
  Area: 25/64

• Perimeter: 14/9
  Area: 121/64
  Area:

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 ratio of the figures is 8:5. Find the missing measure. 

• x = 25.6

• x = 25

• x = 43

• x = 23

The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths  is 10:7. What is the ratio of the areas? 

• 200: 494

• 100 : 28

• 832 : 48

• 100 : 49

A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?

• Perimeter: 34 in
  Area: 58 in^₂

• Perimeter: 39 in.
  Area: 93.5 in²

• Perimeter: 15 in
  Area: 67 in²

• Perimeter: 54 in
  Area: 834 in ²

Tags

CCSS.7.G.A.1

The figures are similar. Find x. 

• 18.5

• 30.5

• 20.5

• 16.5

Tags

CCSS.HSG.SRT.A.2

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

• Perimeter : 4/7
  Area: 16/49

• Perimeter: 15/8
  Area: 30/16

• Perimeter: 40/4
  Area: 19/15

• Perimeter: 18/40
  Area: 15/30