10.2 Areas of Trapezoids, Rhombuses, and Kites

• The height of a trapezoid is the perpendicular distance between the bases.

• The area of a trapezoid is half the product of the height and the sum of the bases.

1 21 ( )2

A h b b

Area of a Trapezoid• What is the approximate area of Nevada?

1 21 ( )2

A h b b

1 (309)(205 511)2

A

2110,622 .A mi

Finding Area Using a Right Triangle• What is the area of trapezoid PQRS?

2 3h

1 21 ( )2

A h b b

1 (2 3)(7 5)2

A

12 3A

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.

1 212

A d d

Finding the Area of a Kite• What is the area of kite KLMN?

1 212

A d d

1 (7)(6)2

A

221A m

More Practice!!!!!

• Homework – Textbook p. 626 #11 – 25 ALL.