A
To find the area of the shaded region we have to:
Find the area of the outer trapezoid and then substract the area of the inner trapezoid.
B.
The area of a trapezoid is given as:
[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]
where b1 is the greater bae, b2 is the smaller base and h is the height.
The outer trapezoid has a greater base of 6 units, smaller base of 2 units and height of 6 units, then its area is:
[tex]A_O=\frac{1}{2}(6+2)6=24[/tex]
The inner trapezoid has a greater base of 4 units, smaller base of 2 units and height of 3 units, then its area is:
[tex]A_I=\frac{1}{2}(4+2)3=9[/tex]
Therefore the area of the shaded figure is 15 squared units.
