10-1 and 10-2 Area of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites

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10-1 and 10-2 Area of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites

  1. 1. Essential Understanding You can find the area of a parallelogram or a triangle when you know the length of its base and its height You can find the area of a trapezoid when you know its height and the lengths of its bases Students will be able to find the area of parallelograms and triangles. Students will be able to find the area of trapezoids, rhombuses, and kites.
  2. 2. Area of a Rectangle Area = base times height A = bh
  3. 3. Area of a Parallelogram Parallelogram: opposite sides are parallel and opposite angles are equal A = bh Base of a parallelogram can be any of its sides Altitude: a segment perpendicular to the line containing the base Height is the length of the altitude
  4. 4. Area of a Trianlge You can rotate a triangle about the midpoint of a side to form a parallelogram The area is half the area of a parallelogram A = ½ bh Base is any of its sides Height is the length of its altitude
  5. 5. Area of a Trapezoid A = ½ h(b1 + b2) Height is the perpendicular distance between the bases the bases are the parallel sides
  6. 6. Area of a Rhombus or Kite A = ½ d1 d2 d stands for the diagonals of the figures
  7. 7. Parallelograms What is the area of a parallelogram whose base has length 12m and height 9 m? A parallelogram has sides 15 cm and 18 cm. The height corresponding to a 15 cm base is 9cm. What is the height corresponding to an 18 cm base?
  8. 8. Trapezoids What is the area of a trapezoid with height 7 cm and bases 12 cm and 15 cm?
  9. 9. Kite/Rhombus What is the area of a kite with diagonals 12 in and 9 in? A rhombus has sides 10 cm long. If the longer diagonal is 16 cm, what is the area of the rhombus?
  10. 10. Homework Pg. 619 # 8 – 16 even, 17, 42 (8 problems) Pg. 626 # 12 – 24 even, 34, 38 (9 problems) 17 problems total

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