find the area of the figure. round to the nearest tenth if necessary.
a. 26 units2
b. 38 units2
c. 32 units2
d. 46 units2

  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

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