1. GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide around the entire garden. What will the outside perimeter of the path be? The perimeter is 56 ft. P = 4sFormula for perimeter of a square P = 4(14) = 56Substitute 14 for s. Because the path is 1 ft wide, increase each side of the garden by 1 ft. s = 1 + 12 + 1 = 14 Quick Check Perimeter, Circumference, and Area LESSON 1-9 Additional Examples

2. GEOMETRY HELP C = 2 (6.5)Substitute 6.5 for r. The circumference of G is 13, or about 40.8 cm.. C = 13 Exact answer C = 2 rFormula for circumference of a circle G has a radius of 6.5 cm. Find the circumference of G in terms of. Then find the circumference to the nearest tenth... Perimeter, Circumference, and Area LESSON 1-9 Additional Examples Quick Check C = 13 Use a calculator.

3. GEOMETRY HELP Quadrilateral ABCD has vertices A(0, 0), B(9, 12), C(11, 12), and D(2, 0). Find the perimeter. Draw and label ABCD on a coordinate plane. BC = |11 – 9| = |2| = 2Ruler Postulate DA = |2 – 0| = |2| = 2Ruler Postulate Find the length of each side. Add the lengths to find the perimeter. AB =(9 – 0) 2 + (12 – 0) 2 = 9 2 + 12 2 Use the Distance Formula. =81 + 144 = 255 = 15 CD = (2 – 11) 2 + (0 – 12) 2 = (–9) 2 + (–12) 2 Use the Distance Formula. =81 + 144 = 255 = 15 Perimeter, Circumference, and Area LESSON 1-9 Additional Examples

4. GEOMETRY HELP (continued) Perimeter= AB + BC + CD + DA = 15 + 2 + 15 + 2 = 34 The perimeter of quadrilateral ABCD is 34 units. Perimeter, Circumference, and Area LESSON 1-9 Additional Examples Quick Check

5. GEOMETRY HELP Write both dimensions using the same unit of measurement. Find the area of the rectangle using the formula A = bh. 36 in. = 3 ftChange inches to feet using 12 in. = 1 ft. A = bhFormula for area of a rectangle. A = (4)(3)Substitute 4 for b and 3 for h. A = 12 You need 12 ft 2 of fabric. To make a project, you need a rectangular piece of fabric 36 in. wide and 4 ft long. How many square feet of fabric do you need? Perimeter, Circumference, and Area LESSON 1-9 Additional Examples Quick Check

6. GEOMETRY HELP A = r 2 Formula for area of a circle. A = (1.5) 2 Substitute 1.5 for r. A = 2.25 In B, r = 1.5 yd.. The area of B is 2.25 yd 2.. Find the area of B in terms of.. Perimeter, Circumference, and Area LESSON 1-9 Additional Examples Quick Check

7. GEOMETRY HELP Find the area of the figure below. Draw a horizontal line to separate the figure into three nonoverlapping figures: a rectangle and two squares. Perimeter, Circumference, and Area LESSON 1-9 Additional Examples

8. GEOMETRY HELP A R = bhFormula for area of a rectangle A R = (15)(5)Substitute 15 for b and 5 for h. A R = 75 A S = s 2 Formula for area of a square A S = (5) 2 Substitute 5 for s. A S = 25 A = 75 + 25 + 25Add the areas. A = 125 The area of the figure is 125 ft 2. Find each area. Then add the areas. (continued) Perimeter, Circumference, and Area LESSON 1-9 Additional Examples Quick Check