Lesson 8.1 Areas of Rectangles and Parallelograms
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1 Leon 8.1 Are of Rectngle nd Prllelogrm In Eercie 1 4, find the re of the hded region cm 1 cm. 17 cm 4. 9 cm 5 cm 1.5 cm 1 cm cm cm 5. Rectngle ABCD h re 684 m nd width 44 m. Find it length. 6. Drw prllelogrm with re 85 cm nd n ngle with meure 40. I your prllelogrm unique? If not, drw different one. 7. Find the re of PQRS. 8. Find the re of ABCDEF. S( 4, 5) P( 4, ) y R(7, 1) y (4, ) F (15, 7)E C(10, ) D(1, 7) Q(7, 9) A(4, 5) B(10, 5) 9. Dn buy piece of crpet tht meure 0 qure yrd. Will he be ble to completely cover rectngulr floor tht meure 1 6 in. by 16 6 in.? Eplin why or why not. 5 CHAPTER 8 Dicovering Geometry Prctice Your Skill 008 Kendll Hunt Publihing
2 Leon 8. Are of Tringle, Trpezoid, nd Kite In Eercie 1 4, olve for the unknown meure. 1. Are 64, h.. Are. h cm cm cm 8. Are 16 in 4. AB 6 cm, AC, nd BC 10 cm. b. Find AD. b 9 in. B D 16 in. A C 5. Find the re of the hded region. 1 cm 0 cm 6. TP i tngent to circle M nd N. TP 16 cm. The rdiu of N i 7 cm nd the rdiu of M i. Find the re of NMPT. T P N M 7. Find the re of TRI. 8. ABCD i prllelogrm, ABDE i kite, AD 1, nd BE 10 cm. Find the y I (1, 1) re of ABCDE. (0, 6) R B C T (6, 0) A D E Dicovering Geometry Prctice Your Skill CHAPTER Kendll Hunt Publihing
3 Leon 8. Are Problem 1. A bundle of hrdwood flooring contin 14 1 nd cot $ Tile 6. How mny qure feet of flooring i needed to cover the kitchen nd fmily room? Eclude the fireplce, herth, nd tiled re. 1 Kitchen 18 b. You hould buy 5% etr flooring to ccount for wte. How mny bundle of flooring hould you buy? Wht will be the cot? 7 Fireplce nd herth 4 Fmily room Bert Bigtime Bkery h bked the world lrget chocolte cke. It i rectngulr heet cke tht i 600 cm by 400 cm by 180 cm high. Bert wnt to pply froting to the four ide nd the top. How mny liter of froting doe he need if 1 liter of froting cover bout 100 cm?. For World Pece Dy celebrtion the tudent t Cbot Junior/Senior High School re mking 6 m-by-8 m flg. Ech of the i grde will crete motif to honor the people of the i inhbited continent. Sketch three poible wy to divide the flg: one into i congruent tringle; one into i tringle with equl re but none congruent; nd one into i congruent trpezoid. Give meurement or mrking on your ketche o ech cl know it h equl re. 4. Kit nd Kt re building kite for the big kite fetivl. Kit h lredy cut hi tick for the digonl. He wnt to poition P o tht he will hve mimum kite re. He k Kt for dvice. Wht hould Kt tell him? P 54 CHAPTER 8 Dicovering Geometry Prctice Your Skill 008 Kendll Hunt Publihing
4 Leon 8.4 Are of Regulr Polygon In Eercie 1, the polygon re regulr cm. 4. cm. 6 cm 14.5 cm A 197 cm A 10. A p 1-gon 4. In regulr n-gon, 4., 7., nd A cm. Find n. 5. Drw regulr pentgon o tht it h 6. Ue comp nd trightedge to perimeter 0 cm. Ue the Regulr Polygon contruct regulr octgon nd Are Conjecture nd centimeter ruler to it pothem. Ue centimeter ruler to find it pproimte re. meure it ide length nd pothem, nd ue the Regulr Polygon Are Conjecture to find it pproimte re. 7. Find the re of the hded region between the qure nd the regulr octgon. 5 cm. r cm. r r Dicovering Geometry Prctice Your Skill CHAPTER Kendll Hunt Publihing
5 Leon 8.5 Are of Circle In Eercie 1 4, write your nwer in term of. 1. If r 9 cm, A.. If d 6., A.. If A 59 cm, r. 4. If C 6 cm, A. In Eercie 5 8, round your nwer to the neret 0.01 unit. 5. If r 7., A. 6. If A 16.46, C. 7. If d.1, A. 8. If C 7.85, A. For Eercie 9 nd 10, refer to the figure of circle incribed in n equilterl tringle. Round your nwer to the neret 0.1 unit. 9. Find the re of the incribed circle cm 10. Find the re of the hded region. 4.0 In Eercie 11 nd 1, find the re of the hded region. Write your nwer in term of. 11. ABCD i qure. 1. The three circle re tngent. y C (0, 8) 5 cm B D (8, 0) A 56 CHAPTER 8 Dicovering Geometry Prctice Your Skill 008 Kendll Hunt Publihing
6 Leon 8.6 Any Wy You Slice It In Eercie 1 6, find the re of the hded region. Write your nwer in term of nd rounded to the neret 0.01 cm cm 10 cm cm 1 cm Shded re i 40 cm. 8. Shded re i 54 cm. 9. Shded re i 51 cm. Find r. Find. The dimeter of the lrger circle i 0 cm. Find r. 144 r 1 cm r Dicovering Geometry Prctice Your Skill CHAPTER Kendll Hunt Publihing
7 Leon 8.7 Surfce Are In Eercie 1 8, find the urfce re of ech olid. All qudrilterl re rectngle, nd ll meurement re in centimeter. Round your nwer to the neret 0.1 cm Be i regulr hegon. 6. 6, 5., nd l l Both be re qure. 8. A qure hole in round peg Il i building mueum diply ce. The ide nd bottom will be plywood nd the top will be gl. Plywood come in 4 -by-8 heet. How mny heet of plywood will he need to buy? Eplin. Sketch cutting pttern tht will leve her with the lrget ingle piece poible CHAPTER 8 Dicovering Geometry Prctice Your Skill 008 Kendll Hunt Publihing
8 LESSON 7.4 Teelltion with Regulr Polygon 4. Smple nwer: 1. n 15. n 0. Poible nwer: A regulr teelltion i teelltion in which the tile re congruent regulr polygon whoe edge ectly mtch. 4. Poible nwer: A 1-uniform tiling i teelltion in which ll vertice re identicl. LESSON 8.1 Are of Rectngle nd Prllelogrm cm. 7.5 cm. 110 cm cm m 6. No. Poible nwer: cm 5 cm 17 cm unit 8. 7 unit 9. No. Crpet re i 0 yd 180. Room re i (1.5 )(16.5 ) Dn will be hort. LESSONS Teelltion 1.. Smple nwer: LESSON 8. Are of Tringle, Trpezoid, nd Kite cm. b 1 in. 4. AD cm unit cm LESSON 8. Are Problem b. 40 bundle; $ L. Poible nwer:. Smple nwer: ANSWERS Dicovering Geometry Prctice Your Skill 008 Kendll Hunt Publihing
9 4. It i too lte to chnge the re. The length of the digonl determine the re. LESSON 8.4 Are of Regulr Polygon 1. A 696 cm. 7.. p 4.6 cm 4. n 10 5.,., A cm r 10 cm r 7 cm LESSON 8.7 Surfce Are cm. 40 cm cm cm cm cm 9. 1 heet: front rectngle: ; bck rectngle: ; bottom rectngle: 6; ide trpezoid: 8; totl 6. Are of 1 heet 4 8. Poible pttern: 6. Poible nwer ( will vry):.1 cm,.7 cm, A 45.9 cm 1 Side Front 1 Le over Side 1 Bck Bottom LESSON 9.1 The Theorem of Pythgor 7. Approimtely 1.5 cm : re of qure 6; re of qure within ngle ; re of octgon 10; re of octgon within ngle ; hded re cm LESSON 8.5 Are of Circle cm cm. cm 4. 4 cm cm cm cm cm cm or.6 cm 11. (64 18) qure unit 1. 5 cm LESSON 8.6 Any Wy You Slice It cm 6.5. cm.51 cm. 1 cm 7.70 cm 4. (16 ) cm 18.7 cm cm 4.41 cm 1. 1 cm. p.9 cm h 14. in. 5. Are C(11, 1); r 5 7. Are 49.7 cm 8. RV If the be re i 16 cm, then the rdiu i. The rdiu i leg of the right tringle; the lnt height i the hypotenue. The leg cnnot be longer thn the hypotenue. 10. Are 150 in ; hypotenue QR 5 in.; ltitude to the hypotenue 1 in. LESSON 9. The Convere of the Pythgoren Theorem 1. No. Ye. Ye 4. Ye 5. Are 1. cm 6. The top tringle i equilterl, o hlf it ide length i.5. A tringle with ide.5, 6, nd 6.5 i right tringle becue So, the ngle mrked 95 hould be cm. By the Convere of the Pythgoren Theorem, ADC i right tringle, nd ADC i right ngle. ADC nd BDC re upplementry, o BDC i lo right tringle. Ue the Pythgoren Theorem to find. Dicovering Geometry Prctice Your Skill ANSWERS Kendll Hunt Publihing
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