Answer:
a. 26 units²
Step-by-step explanation:
The x-axis conveniently divides the figure into a triangle (above the x-axis) and a trapezoid (below the x-axis).
The top triangle has a base of 4 and a height of 3, so its area is ...
triangle area = (1/2)(4 units)(3 units) = 6 units²
The bottom trapezoid has a top base of 4, a bottom base of 6, and a height of 4 units. Its area is ...
trapezoid area = (1/2)(b1 +b2)h = (1/2)(4 units + 6 units)(4 units) = 20 units²
The total area of the figure is ...
area = triangle area + trapezoid area = 6 units² + 20 units² = 26 units²
