Geometry Warm up

10-2 AREA OF TRAPEZOIDS, RHOMBUSES, AND KITES

Quick Review--• What’s Pythag. Thm?• a2 + b2 = c2

• 45-45-90 multiply or divide by • 30-60-90

Area of a Trapezoid• The height of a trapezoid is the perpendicular distance

between the bases.• You can find the area of a trap when you know the height

and lengths of its bases.

Problem 1• What is the area of Nevada?

2110,622mi

TOO (answer is a decimal)

• What is the area of a trapezoid with height 7cm and bases 12 cm and 15 cm?

Problem 2

What is the area of trapezoid PQRS?

DROP A 90!!!!!!

TWAP

Find the area of the Trapezoid.

12

30°30°30

12 99

3√3

13 3 12 30

2A

63 3A

1

2A h b b

1(3 3) 422

(3 3)(21)

A

A

Area of Rhombus or a Kite• You can find the area of a rhombus or a kite when you

know the lengths of its diagonals.• Kites and Rhombi have Perpendicular diags!!

Problem 3• What is the area of kite KLMN?

TOO What is the area of a kite with diagonals that are 12 in. and 9 in. long?

Problem 4 Find the area of the Rhombus

45

5

5

5 A = 24

TOO

Homework• Pg. 626 # 11 – 26 all