For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:
[tex]14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64[/tex]
Thus, the perimeter of the figure is 64 centimeters.
Now, we find the area of the figure:
We have that by definition, the area of a rectangle is given by:
[tex]A = a * b[/tex]
Where:
a and b are the sides of the rectangle
We have 4 vertical rectangles from left to right:
[tex]A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2[/tex]
Thus, the total area is[tex]A_ {t} = 156 \ cm ^ 2[/tex]
Answer:
The perimeter of the figure is 64 centimeters.
[tex]A_ {t} = 156 \ cm ^ 2[/tex]
