Find the area. the figure is not drawn to scale.

Total area of the figure=

Step-by-step explanation:

The given figure has a rectangle and a triangle:

The area of the figure= Area of rectangle+Area of triangle

Length of the rectangle= 13 cm

Width=9 cm

Area of the triangle= 1/2 * base * Height

Height= 11 cm

Base= 13-8=5 cm

Area of the rectangle:

                                   

Total area of the figure:

Since 2x+y>4 you get y>4-2x. Then you draw the line y=4-2x then you are interested in everything above the line not including it since it is y>4-2x so it is a dashed line. You need to shade the side that satifies the inequality and since it is every pair (x,y) where y>4-2x, you need to shade everything above the line which is the side that does not include the origin. So the answer is C.