10-1 and 10-2 Area of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites
1.
2. 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.
3. Area of a Rectangle
Area = base times height
A = bh
4. 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
5. 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
6. Area of a Trapezoid
A = ½ h(b1 + b2)
Height is the perpendicular distance between the
bases
the bases are the parallel sides
7. Area of a Rhombus or Kite
A = ½ d1 d2
d stands for the diagonals of the figures
8. 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?
9.
10. Trapezoids
What is the area of a trapezoid with height 7 cm and
bases 12 cm and 15 cm?
11. 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?
