The shaded figure below is composed of a trapezoid and a semicircle on a coordinate plane.
which of the following expressions represents the area of the shaded figure?
(figure and choice is in pic.)

The area of shaded region is:

                 2(12+π) square units.

We have the trapezium as:

Length of one base i.e. CD is:8 units.

Length pf other base i.e. AB is: 4 units.

Also height of trapezium is: 4 units.

Hence, Area of trapezium is: 1/2×4×(8+4)

                                              = 24 square units.

Similarly area of semicircle is: πr²/2

where r is the radius of the semicircle.

Clearly we have the diameter of semicircle as: AB=4 units.

Hence, Radius of semicircle is: 4/2=2 units.

Hence, Area of semicircle is: 2π square units.

Hence, area of shaded region is:

Area of semicircle+Area of Trapezium.

               =2π+24

                    =2 (12+π) square units.

x+14

step-by-step explanation: