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# Math 20 HomeworkGeometry

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Recommended Textbook Homework Not Turned In for Chapter 9

Remember the Reading Check problems for each section.

Section 9.1 # 1, 3, 7, 9, 13, 15, 19 ,23, 27, 31

Section 9.2 # 3, 5, 13, 17, 21, 23, 27, 29, 33, 35, 39, 43, 45, 67

Section 9.3 # 1, 5, 13, 17, 19, 21, 27, 29, 35, 37

Section 9.6 # 1, 5, 9, 13, 17, 21, 25

Also try the Translating for Success on page 560 # 1, 3, 4, 6, 7, 10.

1. Most billiard tabls are twice as long as they are wide. What is the perimeter of a billiard table that measures 4.5 feet by 9 feet?

6.75 feet 13.5 feet 27 feet 40.5 feet

2. A parallelogram has base 2.3 cm and height 3.5 cm. What is the area?

4.025 square cm 8.05 square cm 11.6 square cm 16.1 square cm

3. A trapezoid has base 25 cm, top 16 cm, and height 35 cm. What is the area?

76 centimeters 717.5 square centimeters 1,435 square centimeters 7,000 square centimeters

4. A triangle has base 4 m and height 3.5 m. What is the area?

7 square meters 7.5 square meters 14 square meters 28 square meters

5. [Section 9.2 # 39] The footprint of a rectangular building has base 110 feet and height 72 feet. On the south and east sides of the building is a sidewalk of width 3.4 feet. What is the area of the sidewalk? (Hint: the two sidewalks meet at the southeast corner in a square whose sides are 3.4 feet—do not double-count this square.)

630.36 square feet 641.92 square feet 7,920 square feet 8,550.36 square feet

6. [Section 9.2 # 45] A square with sides 30 cm long has the top quarter removed (like a triangular 'bite' taken out of the top). What is the remaining area?

225 square centimeters 450 square centimeters 675 square centimeters 900 square centimeters

7. To protect an elm tree in your backyard you need to attach gypsy moth caterpillar tape around the trunk. The tree has a 1.1 foot diameter. What length of tape is needed?

0.95 feet 1.73 feet 3.46 feet 3.80 feet

8.The standard backyard trampoline has a diameter of 14 feet. What is its area?

22 square feet 43.98 square feet 153.94 square feet 615.75 square feet

9. The circumference of a quarter is 7.85 cm. What is its area?

10. [Section 9.3 # 17] You want to install a one yard wide sidwalk around a circular swimming pool. The diameter of the pool is 20 yards. What is the area of the donut-shaped sidwalk?

16.49 square yards 65.97 square yards 263.89 square yards 314.16 square yards

11. [Section 9.3 # 21] A circle of radius 4 yards has its southwest quarter removed. What is the perimeter of that "Pac-Man" shape?

18.85 yards 25.13 yards 26.85 yards
33.13 yards 37.7 yards 50.27 yards

12. [Section 9.3 # 27] An ice cream cone shape is made from a triangle (base and height both 2.8 cm) with a half-circle on top (diameter 2.8 cm). What is the total area?

7.00 square centimeters 8.32 square centimeters 10.08 square centimeters
10.92 square centimeters 12.72 square centimeters 16.64 square centimeters

13. A half-circle window has diameter of 8 feet. What is its perimeter?

3.14 feet 6.28 feet 20.57 feet
25.13 feet 50.27 feet 100.53 feet

14. How many square feet are in 36 square yards?

4 square feet 12 square feet 108 square feet 324 square feet

15. How large a circle (how big an area?) can fit inside a rectangle of base of 12 feet and height of 5 feet?

16. A square is cut in half. The perimeter of the resulting rectangle is 30 feet. What was the area of the original square?

9 square feet 60 square feet 100 square feet

17. What is the square root of 484? (Hint: 20 × 20 = 400 and 25 × 25 = 625)

22 48.4 242 234,256

18. What is the square root of 225?

15 22.5 112.5 50,625

19. What is the square root of 169?

13 16.9 84.5 28,561

20. What is the square root of 21?

2.1 4.583 10.5 441

21. Clarabelle's Confusing Pizza Parlor sells a 20 inch diameter pizza for \$18.99, and a 40 cm diameter pizza for \$14.99. Which is the better buy? (1 inch = 2.54 centimeters.)

the 20-inch diameter pizza the 40 cm diameter pizza

22. Find the length of the race track pictured below. What is its length as a percentage of the famous 2.6 kilometer Curitiba Oval in Brazil?

1.62 km (62% of the Curitiba Oval)
2.03 km (78% of the Curitiba Oval)
2.23 km (86% of the Curitiba Oval)
2.43 km (93% of the Curitiba Oval)