1. Vocabulary: height of a trapezoid, diagonal,
p. 507, bases of a trapezoid, p. 542
Objective: To find the areas of other types of
quadrilaterals—specifically, trapezoids,
rhombuses, and kites.

2. Areas of Trapezoids, Kites, and Rhombuses
THEOREMS
Area of a Trapezoid
Area of a Kite
Area of a Rhombus
The area of a trapezoid is one half the product of the
height and the sum of the bases.
The area of a kite is one half the product of the
lengths of its diagonals.
The area of a rhombus is equal to one half the
product of the lengths of the diagonals.
A = h (b1 + b2)1
2
A = d1 d2
1
2
A = d1 d2
1
2

3. Areas of Trapezoids, Kites, and Rhombuses
You may find it easier to remember by using the midsegment.
=
Length of
Midsegment
Height•
Area of a
Trapezoid

4. The diagram justifies the formulas for the areas of kites and rhombuses.
The diagram shows that the area of a kite is half the area of the
rectangle whose length and width are the diagonals of the kite.
The same is true for a rhombus.
A = d1 d2
1
2
Areas of Trapezoids, Kites, and Rhombuses

5. Finding the Area of a Rhombus
Use the information given in the diagram to find the area of rhombus ABCD.

6. Finding the Area of a Rhombus
Use the information given in the diagram to find the area of rhombus ABCD.
A = 600 square units

7. GUIDED PRACTICE for Examples 1 and 2
Find the area of the figure
1.
28 ft2
ANSWER

8. GUIDED PRACTICE for Examples 1 and 2
42 in.2
ANSWER
Find the area of the figure
2.

9. GUIDED PRACTICE for Examples 1 and 2
3.
2400 m2
ANSWER
Find the area of the figure