10-2 Areas of Trapezoids, Rhombuses

1
10-2Areas of Trapezoids, Rhombuses Kites

• Objective
• To find the area of a trapezoid, rhombus or kite

Essential Understanding You can find the area of
a trapezoid when you know its height and the
lengths of its bases.
2
Review Terms Formulas
Area Base Height
Theorem 10-1 Area of a Rectangle
Abh
Theorem 10-2 Area of a Parallelogram
Abh
Theorem 10-3 Area of a Triangle
h
b
3
b1
Theorem 10-4 Area of a Trapezoid
h
b2
The area of a trapezoid is half the product of
the height and the sum of the bases.
4
What is the area of a trapezoid with height 4cm
and bases 9cm and 3cm?
9cm
4cm
3cm
5
How can I find the area of a rhombus or a kite?
 
 
 
 
Theorem 10-5 The area of a Rhombus or a Kite The
area of a rhombus or a kite is half the product
of the lengths of its diagonals.
6
ExamplesFind the area of each figure.
p. 626 11-25, 29, 31
3 in
8 in
2 m
A 12in2
1 m
4 m
A 10m2