The area of the figure is A. 216 cm².
Step-by-step explanation:
Step 1:
To calculate the value of the composite shape we first divide it into shapes that we know.
In this case, the composite figure consists of a rectangle and a triangle attached to it.
If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.
Step 2:
The triangle has a base length of 8 cm and a height of 12 cm. The area of the triangle [tex]=\frac{1}{2} (b)(h)=\frac{1}{2} (8)(12) = 48.[/tex]
The area of the triangle is 48 cm².
Step 3:
The area of a rectangle is the product of its length and its width.
The given rectangle has a length of 14 cm and a width of 12 cm.
The area of the rectangle [tex]= (l)(w) = (14)(12) = 168.[/tex]
The area of the rectangle is 168 cm².
Step 4:
Now we calculate the area of the entire figure by adding the areas of the triangle and the rectangle.
Area of the figure [tex]=48+168 = 216.[/tex]
So the area of the figure is 216 cm² which is option A.
