Perimeter and Area of Similar Shapes

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 are similar. Find the area of the smaller rectangle.

• 20 in²

• 4 in²

• 10 in²

• 15 in²

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 figures are similar. What is the ratio of their areas?

• 324/576

• 3/4

• 9/16

• 1/4

The figures are similar. Find the area of the larger rectangle.

• 108 ft²

• 54 ft²

• 6.75 ft²

• 100 ft²

The scale factor of two similar figures is 4 : 5. What is the ratio of their perimeters?

• 4 : 5

• 16 : 25

• 64 : 125

• 8 : 10

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 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

If the ratio of perimeters of 2 triangles is 3:4, and the area of the smaller triangle is 324, what is the area of the larger triangle?

• 81

• 432

• 576

• 243

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