1. Objective: To find the areas of rhombuses and kites.
Chapter 7 Lesson 4
Objective: To find the areas of rhombuses and kites.

2. Theorem 7-11: 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. d2 d1
Rhombuses and kites have perpendicular diagonals.

3. Finding the Area of a Kite
Example 1:
Finding the Area of a Kite
Find the area of kite KLMN. L
KM=2+5=7
LN=3+3=6 3m 2m K M 5m 3m N

4. Finding the Area of a Kite
Example 2:
Finding the Area of a Kite
Find the area of kite KLMN. L
KM=1+4=5
LN=3+3=6 3m 1m K M 4m 3m N

5. Finding the Area of a Kite
Example 3:
Finding the Area of a Kite
Find the area of kite with diagonals that are 12 in. and 9 in. long.

6. Example 4: The diagonals of a rhombus bisect each other.
Finding the Area of a Rhombus B
15m
Find the area of rhombus ABCD.
∆BEC is a right triangle. Use the Pythagorean Theorem to find BE. E A C
12m
AC=12+12=24
BD=9+9=18 D

7. Finding the Area of a Rhombus
Example 5:
Finding the Area of a Rhombus B
13m
Find the area of rhombus ABCD.
∆BEC is a right triangle. Use the Pythagorean Theorem to find BE.
24m E A C
12m
12m
AC=12+12=24
BD=5+5=10 D

8. Assignment pg
#14-20;29-31;35-37