Similar Area and Perimeter

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

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 figures below are similar. The labeled sides are corresponding.

What is the perimeter of the smaller hexagon?

• 5 cm

• 1/6 cm

• 6 cm

• not enough info

The figures below are similar. The labeled sides are corresponding.

What is the ratio of the perimeter of the smaller pentagon to the larger pentagon?

• 9:5

• 25:81

• 5:9

• 81:25

The figures shown are similar. The areas of each figure is given.

What is the ratio of the side length of the smaller triangle to the larger triangle?

• 4:49

• 2:7

• 1:7

• 1:25

The figures below are similar. The labeled sides are corresponding.

What is the ratio of the areas of the smaller pentagon to the larger pentagon?

• 9:5

• 25:81

• 5:9

• 81:25

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

• 6.67 m²

• 3.33 m²

• 10 m²

• 22.5 m²

The figures below are similar. The labeled sides are corresponding.

If the ratio of the squares' perimeters is 8:3, what is the value of x?

• 8 mm

• 4.5 mm

• 12 mm

• 36 mm

The figures below are similar. The labeled sides are corresponding.

What is the area of the larger square?

• 25 m²

• 1.25 m²

• 20 m²

• 16 m²