Ratio of Similar Shapes

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

Find the ratio of the perimeters of the triangles.

(Small triangle : Big Triangle)

• 4 : 15

• 3 : 5

• 1 : 3

• 1 : 5

Find the ratio of the areas of the triangles.

(Small triangle : Big Triangle)

• 9 : 16

• 9 : 25

• 1 : 9

• 1 : 25

The two shown figures are similar. Given that the area of the blue shape is 19.32 cm² and that of the yellow one is 77.28 cm², find the value of 𝑥. give your answer to 1 decimal place.

(leave out the units in the answer)

If the ratio of 2 round dinner plates is 2 : 5, what is the ratio of their areas?

• 2 : 5

• 1 : 5

• 4 : 10

• 4 : 25

The figures are similar. Find x. 

• 18.5

• 30.5

• 20.5

• 16.5

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