7.4: Areas of Trapezoids, Rhombuses and Kites
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Transcript 7.4: Areas of Trapezoids, Rhombuses and Kites
7.4: Areas of Trapezoids,
Rhombuses and Kites
Objectives:
•To find the area of a trapezoid, rhombus and kite.
•To use right triangles in finding area of geometric
figures
TRAPEZOID
b1
LEG
LEG
b2
The height (h) is the perpendicular distance between
the bases
b1 and b2 are the bases (the parallel sides)
AREA OF A TRAPEZOID
A
1
2
h b1 b 2
Find the area of the trapezoid:
12cm
7cm
15 cm
Find the area:
14 in
8 in
20 in.
Using Special Right Triangles to Find
Area:
5m
60°
7m
1. Draw in height
2. Use special right triangle relationship to find height
Find the area:
12 ft
45°
16 ft
If the area of a trapezoid is 112 m2, and the lengths
of the bases are 11 m and 21 m, what is the height?
Area of a RHOMBUS or a KITE
• Only one formula to know! It’s the same for
both!
Area = ½ the product of the lengths of the diagonals
Area =
1
2
d1 d 2
or
d1 d 2
2
PLEASE, PLEASE, PLEASE BE CAREFUL!!! IT IS THE
PRODUCT OF THE DIAGONALS, NOT THE SUM!!
RHOMBUS
d1
d2
KITE
d2
d1
Find the area of the kite:
1.
2.
3
2
3
5
4.5
10
2
4.5
Find the area of the Rhombus:
What do we know about the
diagonals of a rhombus?
B
15 m
E
A
12 m
D
C
Use the Pythagorean Theorem to
find the length of BE: