Answer
6 squared units
Work Step by Step
The question asks for the area of a triangle that lies in the first quadrant and x-axis (base) and bounded by $ y=2x-4 $and $y=-4x + 20$
Find the intersection of the two lines and the x-intercepts of the respective equations.
$2x - 4 = -4x + 20$
$6x = 24$
$x = 4$
$y = 2(4) - 4$
$y = 4$
The height of the triangle is 4
The x-intercepts are:
$0 = 2x - 4$
$x = 2$
$0 = -4x + 20$
$x = 5$
Thus the base is of length = 5-2 = 3
So the area is equal to $0.5bh = 0.5 (3)(4) = 6$ squared units
