11.2 - Areas of Trapezoids, Rhombuses, and Kites

11.2 - Areas of Trapezoids, Rhombuses, and Kites

Trapezoid:

1 2

1

2A h b b

Why?

b2

b1

1 2

1

2A h b b

Rhombus:

1 2

1

2A d d

Kite:

1 2

1

2A d d

Find the area of the figure.

1 2

1

2A h b b

1(4) 3 72

A

2 10A

220A u

6

Find the area of the figure.1 2

1

2A d d

1(11)(7)2

A

1(77)2

A

238.5A u

Find the area of the figure.1 2

1

2A d d

1(16)(12)2

A

(8)(12)A

296A u

Find the area of the figure.1 2

1

2A d d

1(8)(14)2

A

(4)(14)A

256A u

4

Find the area of the figure.1 2

1

2A d d

1(6)(16)2

A

(3)(16)A

83

A = 48u2

Use the given information to find the value of x.

1 2

1

2A d d

1300 (2 )(30)

2x15

x

300 (30)x

10m = x

Use the given information to find the value of x.

1 2

1

2A h b b

139 (6) 9

2x

39 3 9x

39 3 27x 12 3x4cm x

Find the area of the figure.

1 2

1

2A d d

c2 = a2 + b2

252 = a2 + 242

625 = a2 + 576

49 = a2

7 = a

7

7 1(14)(39)2

A

7(39)A

2273A u

Find the area of the figure.

c2 = a2 + b2

102 = a2 + 62

100 = a2 + 36

64 = a2

8 = a

8

1 2

1

2A h b b

1(8) 6 242

A

4 30A2120A u

Find the area of the figure.

1 2

1

2A h b b

14 23

SOH – CAH – TOA

tan 4223

x

1x = 20.71

20.71 1(20.71) 14 372

A

10.35 51A

2528.09A u

O H

A

11.2 733-735 3-13 odd, 16-18, 24, 25, 27

HW Problems

#27

A =

10

5 +10

72

A = bh + 1 2

1

2h b b

A = (10)(5) + 12 7 10

2

A = 50 + 17

A = 67u2