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LESSON 7.4 AREAS OF TRAPEZOIDS, RHOMBUSES, AND KITES

LESSON 7.4 AREAS OF TRAPEZOIDS, RHOMBUSES, AND KITES. OBJECTIVE: To find the areas of trapezoid, rhombuses, and kites. b 1. h. b 2. Theorem 7-10 Area of a Trapezoid The area of a trapezoid is. one-half the product of the height and the sum of the bases. A = ½ h( b 1 + b 2 ).

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LESSON 7.4 AREAS OF TRAPEZOIDS, RHOMBUSES, AND KITES

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  1. LESSON 7.4 AREAS OF TRAPEZOIDS, RHOMBUSES, AND KITES OBJECTIVE: To find the areas of trapezoid, rhombuses, and kites

  2. b1 h b2 Theorem 7-10 Area of a Trapezoid The area of a trapezoid is one-half the product of the height and the sum of the bases. A = ½ h( b1 + b2)

  3. The height (h) of a trapezoid is the  distance between the two bases.

  4. Theorem 7-1: Area of a Rhombus or a kite The area of a rhombus or kite is half the product of the lengths of the diagonals. A = ½d1d2

  5. A rhombus is also a parallelogram. We will use A = bhmost of the time. Reminder:

  6. Example #1 Find the area of trapezoid ABCD. (Show formula, substitution, & simplify.) 11 ft. A B 12 ft. C D 5 ft.

  7. A = ½ h( b1 + b2) A = ½ (12)( 11 + 16) A = (6)( 27) A = 162 ft2 11 ft. A B 12 ft. C D 5 ft.

  8. 20 in. 18 in. Example #2 A car window is shaped like the trapezoid shown. If the area of the window is 504 in2find the measure of the missing base. Show all steps.

  9. 20 in. 18 in. A = ½ h( b1 + b2) 504 = ½ (18)( 20 + b2) 504 = (9)(20 + b2) 56 = 20 + b2 36 in. = b2

  10. Y 1 cm X Z 3 cm 3 cm 4 cm W Example #3 Find the area of kite WXYZ. d2 = 1 + 4 = 5 d1 = 3 + 3 = 6

  11. Y 1 cm X Z 3 cm 3 cm 4 cm W A = ½d1d2 A = ½(6)(5) A = 15 cm2

  12. Example #4 If the area of rhombus RSTU is 120 ft2, then find the measure of the missing diagonal. S R 24 ft. U T

  13. A = ½d1d2 120 = ½(24)d2 120 = 12d2 10 ft = d2 S R 24 ft. U T

  14. ASSIGNMENT: Worksheet 7.4 Min. 3 lines per problem plus units

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