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6.7 Areas of Triangles and Quadrilaterals

6.7 Areas of Triangles and Quadrilaterals. The area of a Square. Area of a Square. Postulate. If two polygons are congruent, then they have the same area. Area Addition Postulate. The area of a region is the sum of the area of it nonoverlapping parts. The Blue area is

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6.7 Areas of Triangles and Quadrilaterals

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  1. 6.7 Areas of Triangles and Quadrilaterals

  2. The area of a Square Area of a Square

  3. Postulate If two polygons are congruent, then they have the same area.

  4. Area Addition Postulate The area of a region is the sum of the area of it nonoverlapping parts. The Blue area is Area of A+B+C+D+E+F+G+H

  5. The Area of a Rectangle Area of a Rectangle is Base times height.

  6. The Area of a Parallelogram Area of a Parallelogram is Base times height.

  7. Area of a Triangle Area is one half base times height, even if the height is outside of the triangle

  8. Area of a Trapezoid Area is one half height times(base1 + base2). Height is from base1 to base2

  9. Area of a Kite Area is one half of diagonal1times diagonal2

  10. Area of a Rhombus Area is one half of diagonal1 times diagonal2

  11. Find the Area Square

  12. Find the Area Square Area 237.16 in2

  13. Find the Area Rectangles Area =

  14. Find the Area Rectangles Area = 27.36in2 + 6.15in2 = 33.51 in2

  15. Find the Area Parallelogram Area =

  16. Find the Area Parallelogram Area = 60.68 in2

  17. Find the Area Find the area of the Trapezoid

  18. Find the Area Find the area of the Trapezoid height = 4 base1 = 4 base2 = 6

  19. Find the Area Find the area of the Trapezoid Area height = 4 ½(4)(4+6) ½(4)(10) base1 = 4 2(10) base2 = 6 Area = 20

  20. Find the length of the diagonal Rhombus Area is 192 units2

  21. Find the length of the diagonal Rhombus Area is 192 units2 192 = ½(8+16)(diagonal) 192 = ½(24)(diagonal) 192 = 12(diagonal) 16 = diagonal What is x ?

  22. Find the Area What is the total Area

  23. Find the Area What is the total Area Trap = ½(3)(10+16) = 39 Rect. = 8(16) = 128 Total = 167in2

  24. Homework Page 376 – 377 # 14 – 38

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