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?

A plot of land is shown in the diagram It consists of a right triangle rectangle and semicircle If the owner wants to fence in the land how much fencing does he class=

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Answer:

the answer is 11.970 units.

Step-by-step explanation:


Total 17.968 units fencing is required for owner to fence the land.

What is Perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

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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