Perimeters and Areas of Similar Figures

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

What is the perimeter ratio of the following rectangles?

• 7/6

• 10/6

• 5/3

• 10/7

What is the area ratio of the following rectangles?

• 10/7

• 100/49

• 100/36

• 4/36

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

The perimeter of one rectangle is 12 units. The perimeter of another rectangle is 20 units. If the area of the SECOND (larger) rectangle is 16 square units, what is the area of the first rectangle?

• 5.76 square units

• 9.6 square units

• 26.7 square units

• 44.4 square units

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

• 11/6
• 6/11
• 121/36
• 36/121

What are similar shapes?

• shapes that have the same shape, but not necessarily the same size

• a comparison of the sizes of the parts of the scale drawing to the actual sizes on the original object.

• sides that are in the same position in different plane figures

• sides that have different ratios

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