Answer:
The area of the shaded figure is:
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle = [tex]\frac{wide*height}{2}[/tex]
- Area of a triangle = [tex]\frac{4*2}{2}[/tex]
- Area of a triangle =[tex]\frac{8}{2}[/tex]
- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- Area of the shaded figure = 20 units^2
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
