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Areas of Triangles and Quadrilaterals

Areas of Triangles and Quadrilaterals. Mrs. Bonn ISHS-Geometry. Review: Area formulas. Rectangle: A = bh Parallelogram: A = bh Triangle: A = ½ bh Trapezoid: A = ½ h(b 1 +b 2 ) Kite: A = ½ d 1 d 2 Rhombus: A = ½ d 1 d 2. Find the area of the figures. 4. L. L. L. L. 4. 4. 2.

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Areas of Triangles and Quadrilaterals

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  1. Areas of Triangles and Quadrilaterals Mrs. Bonn ISHS-Geometry

  2. Review: Area formulas • Rectangle: A = bh • Parallelogram: A = bh • Triangle: A = ½ bh • Trapezoid: A = ½ h(b1+b2) • Kite: A = ½ d1 d2 • Rhombus: A = ½ d1 d2

  3. Find the area of the figures. 4 L L L L 4 4 2 L L L L 4 5 8 12

  4. Find the area of ABCD. B C ABCD is a parallelogram Area = bh = (16)(9) = 144 9 E 16 A D 12

  5. Find the Area of a Trapezoid Draw an altitude from vertex B to DC that divides trapezoid ABCD into a rectangle and a right triangle. Because opposite sides of rectangle ABXD are congruent, DX = 11 ft XC = 16 ft – 11 ft = 5 ft.

  6. 1 2 A = h(b1 + b2) Use the trapezoid area formula. 1 2 A = (12)(11 + 16) Substitute 12 for h, 11 for b1, and 16 for b2. (continued) By the Pythagorean Theorem, BX2 + XC2 = BC2, A = 162 Simplify. The area of trapezoid ABCD is 162 ft2.

  7. Find the area of rhombus. • Find the area of rhombus ABCD. B Area of Rhombus A = ½ d1 d2 = ½ (40)(30) = ½ (1200) = 600 15 20 20 A C 15 25 D

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