Areas of Similar Shapes

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 ratio (blue to red) of the area.

• 64/25

• 25/64

• 5/8

• 8/5

Two similar cylinders have surface areas of 40π ft² and 90π ft². What is the ratio of the height of the large cylinder to the height of the small cylinder?

• 4/9

• 2/3

• 8/27

• 16/81

Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?

• 10 in²

• 25 in²

• 100 in²

• 484 in²

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 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

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 area.

• 4/7

• 7/4

• 49/16

• 16/49

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

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