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

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

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

rhombus

Height of a Trapezoid:The perpendicular distance between

the bases.

Trapezoid

Area of a Trapezoid

𝑨𝒓𝒆𝒂𝒐𝒇 𝒂𝑻𝒓𝒂𝒑𝒆𝒛𝒐𝒊𝒅=𝟏𝟐𝒉(𝒃𝟏+𝒃𝟐)

Example 1 Real-World Connection

A) Approximate the area of Arkansas.

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

C) Find the area of the trapezoid.

Example 2 Using Area of a Trapezoid

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

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

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

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

Homework:

Textbook Page 376; #2 – 12 Even

Section 7 –4Continued…

Objectives:To find the area of a kite or a

rhombus

Area of a Rhombus/Kite

𝑨𝒓𝒆𝒂𝒐𝒇 𝒂𝑹𝒉𝒐𝒎𝒃𝒖𝒔 /𝑲𝒊𝒕𝒆=𝟏𝟐𝒅𝟏𝒅𝟐

Example 3 Finding the Area of a Kite

A) Find the area of KLMN

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

C) Find the area of kite XYZW.

Example 4 Finding the Area of a Rhombus

A) Find the area of rhombus ABCD.

B) Find the area of rhombus RSTU.

C) Find the area of the rhombus below.

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

Homework

7 – 4 Ditto; Odds Only