A plot of land is shown in the diagram. It consists of a right triangle, rectangle, and semi-circle. If the owner wants to fence in the land, how much fencing does he need?

Total 17.968 units fencing is required for owner to fence the land.
Here, dimension of triangles are 2, 2, and [tex]2\sqrt{2}[/tex]
Perimeter of triangle = 2 + 2 + [tex]2\sqrt{2}[/tex] = 4 + 2.828 = 6.828 units
Dimension of rectangle is 2, and 2
Perimeter of rectangle = 4 X 2 = 8 units
Radius of semicircle = 1 unit
Circumference of semicircle = πr = 3.14 X 1 = 3.14 units
Total fencing required = Perimeter of triangle + perimeter of rectangle + circumference of semicircle
Total fencing = 6.828 + 8 + 3.14
= 17.968 units
Thus, total 17.968 units fencing is required for owner to fence the land.
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