Areas of Similar Shapes

Two similar figures have corresponding sides 3cm and 5cm. The area of the smaller one is 12 cm². What is the area of the larger one? Give your answer to 1 decimal place. (leave out the units in the answer)

These two shapes are similar. What is the length of x? give your answer to 1 decimal place.

(leave out the units in the answer)

Rectangle 𝑄𝑅𝑆𝑇 is similar to a rectangle 𝐽𝐾𝐿𝑀 with their sides having a ratio of 8∶9. If the dimensions of each rectangle are doubled, find the ratio of the areas of the larger rectangles.

• 4:9

• 16:9

• 128:81

• 64:81

• 32:81

• F
• G
• H
• I

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

The surface area of a certain prism is 1088 square km and its volume is 13312 cubic km. If a similar solid has a surface area of 425 square km, what is this similar solids volume?

• 3250 cubic km

• 5200 cubic km

• 1950 cubic km

• 8320 cubic km

The areas of two similar shapes are in the ratio 9:1

What is the ratio of the side lengths?

• 3:1

• 1:3

• 81:1

• 1:81

The side lengths of two similar solids are in the ratio 1:3

What is the ratio of the areas?

• 1:9

• 1:27

• 1:6

• 1:18

The side lengths of two similar solids are in the ratio 1:2

What is the ratio of the areas?

• 1:4

• 1:8

• 2:4

• 2:8