Find the area of a parallelogram bounded by the x-axis, the line g(x)=2, the line f(x)=3x, and the line parallel to f(x) passing through (6,1).

Answer 1

y=2

y=0

are 2 parallel lines

y=3x

y=3x-17

are the other 2 parallel lines

area between them

is the square formed inside = 5x2 = 10

and 2 triangles 2/3 by 2 = 4/3 = 1 1/3

add them to get 11 1/3