10-2 Areas of Trapezoids, Rhombuses, and Kites

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10-2 Areas of Trapezoids, Rhombuses, and Kites
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You will find the area of a trapezoid, a
rhombus, and a kite.
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Theorem 10-4
Area of a Trapezoid
The area of a trapezoid is half the product of
the height and the sum of the bases.
A 1/2h(b1b2)
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Example
Find the area for the following trapezoid
A 1/2 (16in.) (21in.38in.)
A 1/2 (16in.) (59in.)
A 440 in2
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Theorem 10-5
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.
A 1/2d1d2
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Example
Find the area for the following kite
6.5
2
10
6.5
A 1/2 (210) (6.56.5)
A 1/2 (12) (13)
A 78
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Area 3.46 (57)/2
Example
Area 20.762
Find the area for the following using a right
triangle
3.46m
2m
Area bh
Need the height
300,600,900 ?
longer leg shorter leg ??3
h 3.46
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Assignment
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Assignment Workbook Page 441 all