Answer:
Area = 76 m²
Step-by-step explanation:
The given figure can be split into 2 figures as shown below. One of the figure will be a rectangle and the other will be a square.
From the rectangular figure,
Length of the rectangle is, [tex]L=4+4+4=12\ m[/tex]
Width of the rectangle is, [tex]W=5\ m[/tex]
Therefore, the area of the rectangular figure is given as:
[tex]A_1=L\times W\\A_1=12\times 5=60\ m^2[/tex]
Now, consider the square.
Side of the square is, [tex]a=4\ m[/tex]
We know that, area of a square of side length 'a' is given as:
[tex]A_2=a^2\\A_2=(4)^2=4\times 4=16\ m^2[/tex]
The total area of the given figure is the algebraic sum of the areas of the rectangle and square. Therefore,
Total area = Area of rectangle + Area of square
Total area = [tex]A_1+A_2[/tex]
Total area = [tex]60\ m^2\ +\ 16\ m^2[/tex]
Total area = 76 m²
Hence, the total area of the given figure is 76 square meters
