Extra Practice - Geometry Homepage

Name

Class

Date

Extra Practice

Chapter 10

Lesson 10-1

Find the area of each figure. If not possible, state why.

1.

8 cm 80 cm2

10 cm

4.

13 m

17 m

12 m

17 m 102 m2

Lessons 10-2 and 10-3

2. 5 ft

4.33 ft

3.

10.825 ft2

5 ft

5.

6.

24 yd

13 ft

11 ft

12 ft

143 ft2

15 in.

26 yd 120 yd2

18 in.

The sides are not marked parallel, so you cannot determine the area.

Find the area of each trapezoid, rhombus, kite, or regular polygon. Leave your answer in simplest radical form.

7.

8.

4 in.

9.

6 cm

72 cm2

3 in. 6 in.

15 in.2

5 mm 245"3 mm2

10. 4 ft

32"3 ft2

11. 8 cm

12 cm 48 cm2

13. The patio section of a restaurant is a trapezoid with

the dimensions shown in the figure. What is the area of the patio section? 3500 ft2

12.

6 yd 18 yd2

6 yd 60 ft

50 ft

80 ft

14. A mosaic design uses kite-shaped tiles with the dimensions shown in the figure. What is the area of each tile? 2.625 in.2

15. The tiles for a bathroom floor are regular hexagons that

are

5 8

in.

on

Express the

each side. answer in

Find the area radical form.

of

an individual

73"3 128

in.2

tile.

3 in.

16. The floor of a gazebo is a regular hexagon with sides that are 9 ft long. What is the area of the floor? Round to the nearest square foot. 210 ft2

1.75 in.

Prentice Hall Geometry ? Extra Practice

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35

Name

Class

Date

Extra Practice (continued)

Chapter 10

Lesson 10-4

Find the ratio of the perimeters and the ratio of the areas of the small figure to the large figure.

17. 5 cm

18. 6 ft

5 : 8; 25 : 64

19. 8 ft

3 : 4; 9 : 16

5 in. 16 in.

5 : 16; 25 : 256

8 cm

20. A triangular banner has an area of 315 in.2. A similar banner has sides 113 times as long as those of the smaller banner. What is the area of the larger banner? 560 in.2

21. You want to enlarge the picture on the front of a postcard by 10%. If the perimeter of the postcard is 44 cm, what will be the perimeter of the enlargement? 48.4 cm

Lesson 10-5

Find the area of each polygon. Round your answers to the nearest tenth.

22. 9 ft

23.

73? 7 ft 30.1 ft2

14 in.

59?

78.0 in.2

13 in.

24. 15 cm

46? 8 cm

43.2 cm2

25.

30? 10 m 8 m

20 m2

26. 12 mm

27. 65.4 mm2

82? 11 mm

18 yd 109.2 yd2

54? 15 yd

28. a regular hexagon with an apothem of 3 ft 31.2 ft2

29. a regular octagon with radius 5 ft 70.7 ft2

Prentice Hall Geometry ? Extra Practice

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36

Name

Class

Date

Extra Practice (continued)

Chapter 10

Lesson 10-6

(a) Find the circumference of each circle. (b) Find the length of the arc shown in gray. Leave your answers in terms of p.

30.

120?

31.

32.

6 cm

a. 6p cm

b. 2p cm

150?

20 ft a. 20p ft b. 53p ft

9 cm a. 18p cm; b. 92p cm

33. 5 in.

34.

a. 10p in. b. 245p in. 45? 225?

35. 4 ft

a. 15p m

144?

15 m

b. 485p m

a. 8p ft b. 254p ft

36. A bicycle wheel has a radius of 0.33 m. How many revolutions does the wheel make when the bicycle is ridden 1 km? Round to the nearest whole number. 482

Lesson 10-7

Find the area of each shaded sector or segment. Leave your answers in terms of .

37.

38.

39.

30?

30?

240?

7 ft 439p ft2

6 in.

135? 18 cm

40. 4 m

(12p 2 9"3) in.2

41.

42.

9 yd

60?

(4p 2 8) m2

200?

36p yd2

8 mm

881p cm2

43. A 14-in. diameter pizza is cut into 6 equal slices. About how

many square inches of pizza are in each slice? Round to the nearest square inch. 26 in.2

a136p 2 4"3b mm2

Prentice Hall Geometry ? Extra Practice

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37

Name

Class

Date

Extra Practice (continued)

Chapter 10

Lesson 10-8

Darts are thrown at random at each of the boards shown. If a dart hits the board, find the probability that it will land in the shaded area.

44.

1 4

45.

46.

1 3

1

2

p 4

47.

48.

75? 7 24

49.

3 8

8 m

5

9

12 m

50. A square garden that is 80 ft on each side is surrounded by a cobblestone street that is

8 ft wide. If a child's balloon lands at random in the region formed

by the garden and street, what is the probability that it lands on

the street?

11 36

18 cm

51. A dart hits the circular board shown in the figure at a

random point. What is the probability that it does not hit

5 cm

the shaded square? Express your answer in terms of p.

1

2

25 81p

52. A bus runs every 30 minutes. If you arrive at the bus stop at a random time, what is the

probability that you will not have to wait more than 12 minutes for the bus?

2 5

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