Ratios of Perimeter and Area with Similar Figures

Identify the perimeter and area ratios for the following figures.

• Per. Ratio=8  Area Ratio=64

• Per. Ratio=8/48  Area Ratio=64/2304

• Per. Ratio=8/48  Area Ratio=8/48

• Per. Ratio=8/48  Area Ratio=2304/64

• A
• B
• C
• D

If a shape is dilated by a scale factor of 1/2, what is the resulting perimeter?

• The new perimeter is 1/2 the original

• The new perimeter is 2 times the original

• The new perimeter is 1/4 the original

• The new perimeter is 4 times the original

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 are similar. What is the ratio of their perimeters?

• 18/24

• 3/4

• 1/2

• 36/24

Find the ratio (red to blue) of the perimeter.

• 9/14

• 14/9

• 196/81

• 81/196

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

Find the area of polygon B given similar polygons and the scale factor is shown. Round your answer to the nearest tenth.

• 23.0 m²

• 18 m²

• 18.4 m²

• 12.5 m²

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 perimeter of the smaller triangle?

• 23.8 mm

• 10.2 mm

• 6.67 mm

• 4.3 mm