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