Question

Someone please help me with this​

Answer 1

The area of the shaded figure is:

• 20 units^2

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 =
  `(wide*height)/(2)`
• Area of a triangle =
  `(4*2)/(2)`
• Area of a triangle =
  `(8)/(2)`
• 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.