Area and Perimeter of Similar Shapes

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

• 11/6

• 6/11

• 121/36

• 36/121

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

• 9/14

• 14/9

• 196/81

• 81/196

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

• 4/7

• 7/4

• 49/16

• 16/49

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

• 4/7

• 7/4

• 49/16

• 16/49

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

Two hexagons are similar with a scale factor of 4/5. If the area of the larger hexagon is 20, what is the area of the smaller hexagon?

• 10.24

• 12.8

• 16

• 25

Find the missing perimeter.

• 15

• 20

• 25

• 30

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

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

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