Warm-Up Find the area: 1.Square with side length 13 2.Triangle with hypotenuse 13 and leg 5 3.Rectangle with base 24 and height 15 4.Parallelogram with.

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Presentation transcript:

Warm-Up Find the area: 1.Square with side length 13 2.Triangle with hypotenuse 13 and leg 5 3.Rectangle with base 24 and height 15 4.Parallelogram with base 32 and height 21

Section 11 – 2 Areas of Trapezoids, Rhombuses and Kites

Vocabulary Height of a Trapezoid – The perpendicular distance between its bases.

Theorem 11.4 Area of a Trapezoid The area of a trapezoid is one half the product of the height and the sum of the bases. A = ½h(b 1 + b 2 ) h b1b1 b2b2

Theorem 11.5 Area of a Rhombus The area of a rhombus is one half the product of the lengths of its diagonals. A = ½d 1 d 2 d1d1 d2d2

Theorem 11.6 Area of a Kite The area of a kite is one half the product of the lengths of its diagonals. A = ½d 1 d 2 d1d1 d2d2

Example 1 Find the area of the trapezoid. A = ½h(b 1 + b 2 ) A = 300 in 2 A = ½(20)( ) 12 in 18 in 20 in A = ½(20)(30) A = ½(600)

Example 2 Find the area of the rhombus. A = ½d 1 d 2 A = ½(6)(12) A = ½(72) A = 36 in 2 3 in 6 in B AC D

Homework Section 11-2 Page 733 – 736 1, 3 – 12, 15 – 18, 22 – 28, 31, 32, 34, 44 – 47