Similar Figures Area and Perimeter and Indirect Measurement Word Problems

Find the ratio (red to blue) of the areas of the similar figures.

• 11/6

• 6/11

• 121/36

• 36/121

What does similar mean?

• same shape and same size

• same size

• same shape but not necessarily the same size.

• neither

What does congruent mean?

• same shape and same size
• same size
• sames shape
• neither

The scale factor of two similar figures is 4 : 5. What could be a pair of corresponding sides?

• 4 : 6

• 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

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 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

Find the missing area.

• 15

• 20

• 25

• 30

What is the area ratio of the following rectangles?

• 10/7

• 100/49

• 100/36

• 4/36

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

• 4/7
• 7/4
• 49/16
• 16/49