10-1 Perimeter. Perimeter of a Square MAIN IDEA. New Vocabulary. Math Online. through D. What do you notice about these ratios?
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1 0- Perimeter MAIN IDEA Find the perimeter of quare and rectangle. New Vocabular perimeter Math Online glencoe.com Extra Example Peronal Tutor Self-Check Quiz Ue a centimeter ruler to meaure the ide length of each quare hown below. Round each to the nearet centimeter. Cop and complete the table below. Find the ditance around each quare b adding the meaure of it ide. Square A B C D Side Length Ditance Around ditance around. Write the ratio in implet form for quare A ide length through D. What do ou notice about thee ratio?. MAKE A CONJECTURE Write an expreion for the ditance around a quare that ha a ide length of x centimeter. The ditance around an cloed figure i called it perimeter. A ou dicovered in the Mini Lab above, ou can multipl the meaure of an ide of a quare b 4 to find it perimeter. Perimeter of a Square Ke Concept Word The perimeter P of a quare i four time the meaure of an of it ide. Model Smbol P = 4 5 Chapter 0 Meaurement: Perimeter, Area, and Volume
2 Perimeter of a Square VOLLEYBALL In volleball, the hape of the court on one ide of the net i a quare with a ide length of 9 meter. What i the perimeter of one half of a volleball court? P = 4 Perimeter of a quare P = 4(9) Replace with 9. P = 36 Multipl. The perimeter of one half of a volleball court i 36 meter. a. SOFTBALL The infield of a oftball field i a quare that meaure 60 feet on each ide. What i the perimeter of the infield? Perimeter of a Rectangle Ke Concept Word Smbol The perimeter P of a rectangle i the um of the length and width. It i alo two time the length l plu two time the width w. P = l + w + l + w P = l + w Model w l l w Check You can check our anwer in Example b finding the um of the length and width of the rectangle. P = or 30 inche. So, the anwer i correct. Perimeter of a Rectangle Find the perimeter of the rectangle. 4 in. P = l + w Write the formula. P = () + (4) Replace l with and w with 4. P = + 8 P = 30 Multipl. Add. The perimeter i 30 inche. Find the perimeter of each rectangle. b. 0 in. c. 5.3 mm in. 4 in. in. 6 in. 6 in. 8 mm 8 mm 0 in. 5.3 mm Leon 0- Perimeter 53
3 Example (p. 53). CHESS The game of che i plaed on a 6 in. quare-haped board. What i the perimeter of the che board hown? 6 in. Example (p. 53) Find the perimeter of each rectangle.. 5 in m 4. 7 cm 7 in. 5 in. 7 in. m 9 m m 7 cm HOMEWORK HELP For Exercie HELP See Example 5. SIGNS A tpical Do Not Enter ign i 750 millimeter on each ide. What i the perimeter of the ign? 6. COUNTY Gra Count i an approximate quare with each ide meauring 30 mile. What i the approximate perimeter of Gra Count? Find the perimeter of each quare or rectangle m 6 m 9. 9 in..7 in..7 in. 6 m 6 m 9 in d 43 3 d 43 3 d 89 d. 96 mm 04 mm 96 mm 04 mm 3. FRAMES Nadia ha a quare picture frame that will hold a 5-inch b 5-inch photo. The picture frame ha a border that i inch thick all the wa around. How much larger i the perimeter of the frame than the perimeter of the picture?. 3 ft ft 3 ft 5 in. ft in. 54 Chapter 0 Meaurement: Perimeter, Area, and Volume
4 Find the perimeter of each figure in. 4.3 in. 4.3 in. 4.3 in. 4.3 in. 4.3 in ROWING The blade of the oar hown are quadrilateral. What i the perimeter of quadrilateral ABCD? cm 8 cm.6 cm 50 cm 5 cm 5 cm 50 cm PRACTICE EXTRA PRACTICE See page 698, BASKETBALL A baketball court meaure 6 meter b 4 meter. Ten meter of eating i added to each ide of the court. Find the perimeter of the rectangle encloed b the court and the eating area. 9. SEWING A lace border will be ewn on quare pillow. The amount of lace needed for one pillow i 58 _ inche. What i the length of the pillow? For Exercie 0 and, find the value of given the perimeter P. How man egment unit long are needed for the perimeter of each figure? 0. P = 5. P = 6 ft H.O.T. Problem. OPEN ENDED Draw a quadrilateral that ha a perimeter of 0 centimeter. 3. REASONING Are two rectangle with equal perimeter alwa congruent? Explain our reaoning. 4. FIND THE ERROR Daquan and Jamine are finding the perimeter of a rectangle that i 4 inche b inche. Who i correct? Explain. 4 = 68 in = 5 in. Daquan Jamine 5. CHALLENGE Find and compare the perimeter of Length (ft) Width (ft) the rectangle whoe dimenion are lited in the 6 table. Then create another et of at leat three 5 rectangle that hare a imilar relationhip. 4 3 Leon 0- Perimeter 55
5 WRITING IN 6. MATH Compare and contrat the formula for the perimeter of quare and rectangle. 7. Mr. Johnon i building a bottomle quare andbox uing cedar wood. 6 ft 6 ft 8. SHORT RESPONSE Francico cut a rectangle out of contruction paper for a geometr project. 3 in. 3 in. Which method can Mr. Johnon ue to find the amount of cedar needed to build the andbox? A Multipl the length of a ide b. B Multipl the length of a ide b 4. C Square the length of a ide. D Multipl the length of each ide b and add the reult. Find the perimeter of the rectangle in inche. Tell whether each pair of figure i congruent, imilar, or neither. (Leon 9-7) TRAVEL Chaton live in Glacier and work in Alpine. There i no direct route from Glacier to Alpine, o Chaton drive through either Elm or Perth. How man different wa can he drive to work? Ue the draw a diagram trateg. (Leon 9-6) Etimate each percent. (Leon 7-8) 33. 3% of % of % of BUSINESS The table how the choice available when ordering a pie from the Tate-n-Tell Baker. How man different pie are available? (Leon 7-5) PREREQUISITE SKILL Round each number to the nearet tenth. (Leon 3-3) Tate-n-Tell Baker flavor crut ize apple cherr peach ingle double medium large 56 Chapter 0 Meaurement: Perimeter, Area, and Volume
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