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messersmith_power_prealgebra_1e_ch4_7_10

Putting It All Together What are your objectives? How can you accomplish each objective? 1 Review the Concepts of Sections 4.1–4.4 • Know the vocabulary associated with lines, segments, rays, and angles. • Be able to apply the properties and formulas associated with rectangles, squares, parallelograms, trapezoids, and triangles. • Be able to fi nd the volume and surface area of the fi gures in Section 4.4. • Complete the given examples on your own. • Complete You Trys 1–3. Read the explanations, follow the examples, take notes, and complete the You Trys. 1 Review the Concepts of Sections 4.1–4.4 Concepts from geometry show up in different ways and in different situations, so it is important to be able to distinguish among different fi gures and formulas to solve problems. Also, you should be able to distinguish among a line, line segment, and ray, and be able to classify angles as acute, right, or obtuse. The perimeter of a fi gure is the distance around the fi gure, while the area of a fi gure is the size of the region enclosed in the fi gure. Area is measured in square units like square inches (in2) or square meters (m2). Make a chart of the perimeter and area formulas we have learned. EXAMPLE 1 Find the area and perimeter of each fi gure. a) 5 in. 5 in. 3 in. 8 in. b) 2 m 3 m 4 Solution a) Area: The formula for the area of a triangle is A 1 2 bh. Identify the base, b, and height, h. Remember, the base is the side that forms the right angle with the height. b 8 in.  h 3 in. A 1 2 bh A 1 2 (8 in.)(3 in.) Substitute the values. A 1 21 4 in.)(3 in.) Divide out 2. (8 A 12 in2 Multiply. The area is 12 in2. Remember to use square units for area. 326 CHAPTER 4 Basic Geometry Concepts and Algebra www.mhhe.com/messersmith


messersmith_power_prealgebra_1e_ch4_7_10
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