1. Section 7 –4 Area of Trapezoids, Rhombuses, & Kites
Objectives:
To find the area of a trapezoid
To find the area of a kite or a rhombus

2. The perpendicular distance between the bases.
Trapezoid
Height of a Trapezoid:
The perpendicular distance between the bases.

3. 𝑨𝒓𝒆𝒂 𝒐𝒇 𝒂 𝑻𝒓𝒂𝒑𝒆𝒛𝒐𝒊𝒅= 𝟏 𝟐 𝒉( 𝒃 𝟏 + 𝒃 𝟐 )
Area of a Trapezoid
𝑨𝒓𝒆𝒂 𝒐𝒇 𝒂 𝑻𝒓𝒂𝒑𝒆𝒛𝒐𝒊𝒅= 𝟏 𝟐 𝒉( 𝒃 𝟏 + 𝒃 𝟐 )

4. Example 1 Real-World Connection
A) Approximate the area of Arkansas.

5. B) Find the area of a trapezoid with height 7cm and bases 12 cm and 15 cm.
C) Find the area of the trapezoid.

6. Example 2 Using Area of a Trapezoid
A) Find the area of trapezoid PQRS. Leave your answer in simplest radical form.

7. B). Find the area of the trapezoid
B) Find the area of the trapezoid. Leave your answer in simplest radical form.

8. C). Find the area of the trapezoid
C) Find the area of the trapezoid. Leave your answer in simplest radical form.

9. D). Find the area of the trapezoid
D) Find the area of the trapezoid. Leave your answer in simplest radical form.

10. Homework:
Textbook Page 376; #2 – 12 Even

11. Objectives: To find the area of a kite or a rhombus
Section 7 –4 Continued…
Objectives:
To find the area of a kite or a rhombus

12. 𝑨𝒓𝒆𝒂 𝒐𝒇 𝒂 𝑹𝒉𝒐𝒎𝒃𝒖𝒔/𝑲𝒊𝒕𝒆= 𝟏 𝟐 𝒅 𝟏 𝒅 𝟐
Area of a Rhombus/Kite
𝑨𝒓𝒆𝒂 𝒐𝒇 𝒂 𝑹𝒉𝒐𝒎𝒃𝒖𝒔/𝑲𝒊𝒕𝒆= 𝟏 𝟐 𝒅 𝟏 𝒅 𝟐

13. Example 3 Finding the Area of a Kite
A) Find the area of KLMN

14. B). Find the area of a kite with diagonals that are 12 in. and 9 in
B) Find the area of a kite with diagonals that are 12 in. and 9 in. long.

15. C) Find the area of kite XYZW.

16. Example 4 Finding the Area of a Rhombus
A) Find the area of rhombus ABCD.

17. B) Find the area of rhombus RSTU.

18. C) Find the area of the rhombus below.

19. D). Find the area of the rhombus below
D) Find the area of the rhombus below. Leave your answer in simplest radical form.

20. Homework
7 – 4 Ditto; Odds Only