Holt CA Course 1 10-1 Perimeter AF3.1 Use variables in expressions describing geometric quantities (e.g., P = 2w + 2l, A = bh, C =  d–the formulas for.

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Holt CA Course Perimeter AF3.1 Use variables in expressions describing geometric quantities (e.g., P = 2w + 2l, A = bh, C =  d–the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively). Also covered: AF1.1, AF1.2, AF3.2 California Standards 1212

Holt CA Course Perimeter Vocabulary perimeter

Holt CA Course Perimeter The perimeter of a polygon is the sum of the lengths of its sides.

Holt CA Course Perimeter Teacher Example 1: Finding the Perimeter of a Polygon Find the perimeter of the figure Add all the side lengths. The perimeter is 17.2 in.

Holt CA Course Perimeter Student Practice 1: Find the perimeter of the figure Add all the side lengths. 3.3 in. 4.2 in. 3 in. The perimeter is 18 in.

Holt CA Course Perimeter

Holt CA Course Perimeter Teacher Example 2: Using a Formula to Find Perimeter Find the perimeter P of the parallelogram. P = 2l+ 2w Substitute 12 for l and 3 for w. P = (2 12) + (2 3) P = P = 30 Multiply. Add. The perimeter is 30 cm. 12 cm 3 cm

Holt CA Course Perimeter Student Practice 2: Find the perimeter P of the parallelogram. P = 2l + 2w Substitute 15 for l and 2 for w. P = (2 15) + (2 2) P = P = 34 Multiply. Add. The perimeter is 34 cm. 15 cm 2 cm

Holt CA Course Perimeter A. What is the length of side a if the perimeter equals 1,471 mm? P = sum of side lengths Use the values you know. 1,471 = a 1,471 = 1,178 + a 1,471 – 1,178 = 1,178 + a – 1,178 Add the known lengths. Subtract 1,178 from both sides. 293 = a Side a is 293 mm long. Teacher Example 3A: Finding Unknown Side Lengths and the Perimeter of a Polygon Find each unknown measure.

Holt CA Course Perimeter Teacher Example 3B: Finding Unknown Side Lengths and the Perimeter of a Polygon Find each unknown measure. B. What is the perimeter of the polygon? Step 1: Find b. Find the sum of the lengths opposite side b. b = b = 72 P = P = 254 Step 2: Find the perimeter. The perimeter of the polygon is 254 cm.

Holt CA Course Perimeter l = 4w Find the length. l = (4 19) l = 76 Substitute 19 for w. Multiply. Teacher Example 3C: Finding Unknown Side Lengths and the Perimeter of a Polygon C. The width of a rectangle is 19 cm. What is the perimeter of the rectangle if the length is 4 times the width? 4w4w 19 cm

Holt CA Course Perimeter Teacher Example 3C Continued P = 2 l + 2 w Substitute 76 and 19. P = 2(76) + 2(19) P = P = 190 Multiply. Add. Use the formula for the perimeter of a rectangle. The perimeter of the rectangle is 190 cm. 4w4w 19 cm

Holt CA Course Perimeter Student Practice 3A: Find each unknown measure. A. What is the length of side a if the perimeter equals 1,302 mm? P = sum of side lengths Use the values you know. 1,302 = a 1,302 = a 1,302 – 982 = a – 982 Add the known lengths. Subtract 982 from both sides. 320 = a Side a is 320 mm long. 212 mm 280 mm a 250 mm 240 mm

Holt CA Course Perimeter P = P = 60 The perimeter of the polygon is 60 m. Student Practice 3B: Find each unknown measure. B. What is the perimeter of the polygon? 12 m 14 m b m 8 m 6 m 4 m 16 m Step 1: Find b. Find the sum of the lengths opposite side b. b = b = 16 Step 2: Find the perimeter.

Holt CA Course Perimeter l = 5w Find the length. l = (5 13) l = 65 Substitute 13 for w. Multiply. Student Practice 3C: C. The width of a rectangle is 13 cm. What is the perimeter of the rectangle if the length is 5 times the width? 5w5w 13 cm

Holt CA Course Perimeter Student Practice 3C Continuted: 65 cm 13 cm P = 2 l + 2 w Substitute 65 and 13. P = 2(65) + 2(13) P = P = 156 Multiply. Add. Use the formula for the perimeter of a rectangle. The perimeter of the rectangle is 156 cm.

Holt CA Course Perimeter Lesson Quiz: Part I Find each perimeter What is the perimeter of a polygon with side lengths of 15 cm, 18 cm, 21 cm, 32 cm, and 26 cm? 9 cm 4 ft 112 cm 5 6 __

Holt CA Course Perimeter Lesson Quiz: Part II 4. What is the perimeter of a rectangle with length 22 cm and width 8 cm? 5. The width of a rectangle is 12 in. What is the perimeter of the rectangle if the length is 7 in. longer than the width? 60 cm 62 in.