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GEOMETRY: Chapter 6. 6.7 Areas of Triangles and Quadrilaterals. Square s Side length s A = s 2 Rectangle and Parallelogram b A= bh h. Triangle Side lengths a, b, and c, base b, and height h A = ½ bh. Theorem 8.23: Area of a Trapezoid
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GEOMETRY: Chapter 6 6.7 Areas of Triangles and Quadrilaterals
Squares Side length s A =s2 Rectangle and Parallelogramb A=bh h
Triangle Side lengths a, b, and c, base b, and height h A = ½ bh
Theorem 8.23:Area of a Trapezoid The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 730.
Ex. 1. The front of a decorative chest is a trapezoid, as shown. Find the area of the front of the chest. Answer: 300 in squared Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 731.
Theorem 8.24:Area of a Kite The area of a kite is one half the product of the lengths of its diagonals. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 731.
Theorem 8.25:Area of a Rhombus The area of a rhombus is one half the product of the lengths of its diagonals. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 731.
Ex. 2. Rhombus ABCD is part of a quilt. Find the area of the rhombus. Answer: 36in squared Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 731.
Ex. 3 One diagonal of a kite is 1/3 as long as the other. The area of the kite is 0.24m2. What are the lengths of the diagonals. 1.2m; 1.2m 1.2m, 0.4m 0.8m; 0.3 m 0.6m; 0.4m Answer:B
Ex. 4 A logo design is drawn on a grid where each grid square is 5 inches by 5 inches. Find the area of the design. Answer:650 in squared Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 732.