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
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 = + 4 + + 4 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
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. 3. 9 m 4. 7 cm 7 in. 5 in. 7 in. m 9 m m 7 cm HOMEWORK HELP For Exercie 5 8 9 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. 7. 8. 6 m 6 m 9. 9 in..7 in..7 in. 6 m 6 m 9 in. 0. 89 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
Find the perimeter of each figure. 4. 4.3 in. 4.3 in. 4.3 in. 4.3 in. 4.3 in. 4.3 in. 5. 7. ROWING The blade of the oar hown are quadrilateral. What i the perimeter of quadrilateral ABCD? 6. 6.6 cm 8 cm.6 cm 50 cm 5 cm 5 cm 50 cm PRACTICE EXTRA PRACTICE See page 698, 75. 8. 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. 4 + 4 + + = 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
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) 9. 30. 3. 3. 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 57 34. 74% of 45 35. 33% of 9 36. 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) 37. 43.363 38. 9.8767 39. 37.69 40. 4.96 Tate-n-Tell Baker flavor crut ize apple cherr peach ingle double medium large 56 Chapter 0 Meaurement: Perimeter, Area, and Volume