Note: Figure is not drawn to scale. If x = 6 units, y = 7 units, and h = 8 units, find the area of the trapezoid shown above using decomposition.
A.
76 square units
B.
48 square units
C.
160 square units
D.
104 square units

D) 104 square units

Step-by-step explanation:

Two triangles:  2x1/2x6x8=48

Rectangle:  7x8=56

48+56=104

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional