Section 2.4 Multiplication of Fractions and Applications 127 Solution: Identify the measure of the base and the height. Apply the formula for the area of a triangle. Simplify. The area of the triangle is square feet (ft2). Find the Area of a Composite Geometric Figure Example 8 Find the area. 5 8 5 8 ft2 1 2 a5 31 ftb a3 1 4 ftb 1 2 a5 3 ftb a3 4 ftb A 1 2 bh b 5 3 ft and h 3 4 ft Answers 11. or 1 ft2 12. 14 ft2 1 3 4 3 10 in. 8 in. 7 in. 2 Solution: The total area is the sum of the areas of the rectangular region and the triangular region. That is, 1area of rectangle2 1area of triangle2 Area of rectangle: (10 in.)(8 in.) 80 in.2 a4 2 Total area 80 in.2 14 in.2 94 in.2 The total area of the region is 94 square inches (in.2). 1 14 1 in.b a7 in.2 14 in.2 21 in.b 1 21 a8 4 1 in.b a7 2 in.b Area of triangle: 1 2 18 in.2 a7 2 in.b 112 1l w2 bh2 Total area Finding the Area of a Triangle Find the area of the triangle. 5 ft 3 3 ft 4 Example 7 8 in. 10 in. 8 in. 7 in. 2 Skill Practice 11. Find the area of the triangle. 2 ft 4 ft 3 Skill Practice 12. Find the area of the kite. 3 ft 2 11 ft 2 4 ft
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