Respuesta :

The area of the given shape is 240 units².

Step-by-step explanation:

Step 1;

Area of given shape = Area of the rectangle + Area of the triangle.

The rectangle measures a length of 20 units and a width of 10 units. The area of any given rectangle is the multiplication of its length and width.

The area of the rectangle [tex]=(length)(width) = (20)(10) = 200[/tex].

So the area of the rectangle is 200 units².

Step 3:

The area of a triangle = [tex]\frac{1}{2} (baselength)(height)[/tex]

The base length of the triangle = 20 units

and the height of the triangle is 4 units.

The triangle's area = [tex]\frac{1}{2} (20)(4) = \frac{1}{2} (80) = 40[/tex].

The area of the triangle is 40 units².

Step 4:

Area of the given shape = [tex]200 + 40 = 240.[/tex]

So the area of the given shape is 240 units².