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.
Area of a Rectangle

 Area = base times height

 A = bh
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
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
Area of a Trapezoid

 A = ½ h(b1 + b2)

 Height is the perpendicular distance between the
  bases

 the bases are the parallel sides
Area of a Rhombus or Kite

 A = ½ d1 d2

 d stands for the diagonals of the figures
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?
Trapezoids

 What is the area of a trapezoid with height 7 cm and
  bases 12 cm and 15 cm?
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?
Homework

 Pg. 619

 # 8 – 16 even, 17, 42 (8 problems)

 Pg. 626

 # 12 – 24 even, 34, 38 (9 problems)

 17 problems total

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

  • 2.
    Essential Understanding  Youcan 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.
  • 3.
    Area of aRectangle  Area = base times height  A = bh
  • 4.
    Area of aParallelogram  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
  • 5.
    Area of aTrianlge  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
  • 6.
    Area of aTrapezoid  A = ½ h(b1 + b2)  Height is the perpendicular distance between the bases  the bases are the parallel sides
  • 7.
    Area of aRhombus or Kite  A = ½ d1 d2  d stands for the diagonals of the figures
  • 8.
    Parallelograms  What isthe 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?
  • 10.
    Trapezoids  What isthe area of a trapezoid with height 7 cm and bases 12 cm and 15 cm?
  • 11.
    Kite/Rhombus  What isthe 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?
  • 14.
    Homework  Pg. 619 # 8 – 16 even, 17, 42 (8 problems)  Pg. 626  # 12 – 24 even, 34, 38 (9 problems)  17 problems total