# Hot Topics page 411 - PowerPoint PPT Presentation

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Hot Topics page 411. Numbers 1-10. Give the scale factor. 25 20. 20 16. 45. 25/20 = 5/4 or 20/16 = 5/4. Give the scale factor. 14 14 14. 10 10 10. 75. 10/14 = 5/7.

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Hot Topics page 411

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## Hot Topics page 411

Numbers 1-10

### Give the scale factor.

25

20

20

16

45

25/20 = 5/4or 20/16 = 5/4

14

14

14

10

10

10

75

10/14 = 5/7

### A document measuring 28 cm by 20 cm is enlarged by a scale factor of 3/2. What are the new dimensions?

28 cmx

20 cm y

2 3

3/2 = x/28 so x = 42

3/2 = y/20so y = 30

### A photograph 8 in. by 6 in. is reduced to a length of 6 in. What is the width?

8 in6 in

6 in x

8/6 = 6/xso x = 4.5 in.

26 m

10m

24m

21

5m, 13m, 12m

### The scale on a map is 1 in. = 10 mi. On the map, 2 towns are 3.5 in. apart. How far apart are they actually?

1 in/10 mi = 3.5 in/x

so, x = 35 mi

### The scale on a map is 1 cm = 5 km. What length on the map would a road be that is 12.5 km long?

1 cm/5 km = x / 12.5 km

so, x = 2.5 cm

### The scale factor of 2 similar figures is 4. If the smaller rectangle has an area of 2 sqft, what is the area of the larger figure?

14

Area = 2 sqft

4 x 4 = 16 x 2 = 32 sqft

### A square park has sides of 12 km. What is its area on a map that has a scale of 1 cm = 10 km?

1 cm/10 km = x / 12 km

So, x = 1.2 cm

1.2 x 1.2 = 1.44 sq cm

• 1515

• 12 12

• 21

• 10

8

14

32