What is the perimeter of the figure in the diagram (round to three decimal places)? A) 44.471 B) 35.046 C) 32.471 D) 23.046

The perimeter of the figure in the diagram is:

Step-by-step explanation:

To identify the perimeter of the figure shown, you must divide the figure in figures known, in this case, the top is a half of a circle, next is a rectangle, and the last could be divided into two triangles (image attached), so, we can define the perimeter of each figure identified:

1. Circle.

The circle has a diameter of 6 feet (six squares in the paper), now, you must remember that:

How we know the diameter and the value of the PI, we can clear the perimeter:

Remember this is the perimeter of a complete circle, but how we have a half circle, we must divide the perimeter obtained into 2:

2. Rectangle.

This is the easiest perimeter you can find, just need to add the 3 feet from the left side and the 3 feet from the right side, so:

3. Triangles.

The smallest triangle (please see the image attached) has the measures: 1 foot and 2 feet, to identify the hypotenuse you only must apply the Pythagoras theorem what is:

or  

But how we need just the hypotenuse, we obtain the square root of all:

Then we replace:

And the last, for the biggest triangle, you use the same formula with square root but with the legs 5 feet and 2 feet:

Now, you must add all the perimeters found:

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step-by-step explanation:

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