section 7 –4 area of trapezoids, rhombuses, & kites objectives: to find the area of a...

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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

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Page 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

Section 7 –4Area of Trapezoids, Rhombuses, & Kites

Objectives:To find the area of a trapezoidTo find the area of a kite or a

rhombus

Page 2: 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

Height of a Trapezoid:The perpendicular distance between

the bases.

Trapezoid

Page 3: 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

Area of a Trapezoid

𝑨𝒓𝒆𝒂𝒐𝒇 𝒂𝑻𝒓𝒂𝒑𝒆𝒛𝒐𝒊𝒅=𝟏𝟐𝒉(𝒃𝟏+𝒃𝟐)

Page 4: 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

Example 1 Real-World Connection

A) Approximate the area of Arkansas.

Page 5: 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

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

C) Find the area of the trapezoid.

Page 6: 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

Example 2 Using Area of a Trapezoid

A) Find the area of trapezoid PQRS. Leave your answer in simplest radical form.

Page 7: 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

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

Page 8: 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

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

Page 9: 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

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

Page 10: 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

Homework:

Textbook Page 376; #2 – 12 Even

Page 11: 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

Section 7 –4Continued…

Objectives:To find the area of a kite or a

rhombus

Page 12: 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

Area of a Rhombus/Kite

𝑨𝒓𝒆𝒂𝒐𝒇 𝒂𝑹𝒉𝒐𝒎𝒃𝒖𝒔 /𝑲𝒊𝒕𝒆=𝟏𝟐𝒅𝟏𝒅𝟐

Page 13: 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

Example 3 Finding the Area of a Kite

A) Find the area of KLMN

Page 14: 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

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

Page 15: 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

C) Find the area of kite XYZW.

Page 16: 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

Example 4 Finding the Area of a Rhombus

A) Find the area of rhombus ABCD.

Page 17: 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

B) Find the area of rhombus RSTU.

Page 18: 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

C) Find the area of the rhombus below.

Page 19: 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

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

Page 20: 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

Homework

7 – 4 Ditto; Odds Only