The area of the figure is 112 square inches.
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 shape consists of a triangle and a square attached below 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 [tex]=10-6=4[/tex] inches and the height is [tex]16-10=6[/tex] inches.
The area of the triangle [tex]= \frac{1}{2} (b)(h) = \frac{1}{2} (4)(6) = 12.[/tex]
The area of the triangle is 12 square inches.
Step 3:
The area of a square is the square of its side length. The given square has a side length of 10 inches.
The area of the square [tex]= a^{2} = 10^{2} = 100.[/tex]
The area of the square is 100 square inches.
Step 4:
Now we calculate the area of the entire figure by adding the areas of the triangle and the square.
Area of the figure [tex]= 100 + 12 = 112.[/tex]
So the area of the figure is 112 square inches.
