Question

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Answer 1

Using the formula for the distance between two points to find the side lengths, the perimeter of the polygon is of 25 units.

What is the perimeter of a figure?

The perimeter of a figure is given by the sum of the side lengths of it's outside dimensions.

What is the distance between two points?

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$. The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For this problem, the distances are given as follows:

• $D_1 = \sqrt{(-1 -(-1))^2 + (6 - 3)^2} = 3$.

• $D_2 = \sqrt{(2 -(-1))^2 + (10 - 6)^2} = 5$.

• $D_3 = \sqrt{(5 - 2)^2 + (6 - 10)^2} = 5$.

• $D_4 = \sqrt{(5 - 5)^2 + (3 - 6)^2} = 6$.

• $D_5 = \sqrt{(5 - (-1))^2 + (3 - 3)^2} = 6$.

Hence the perimeter is given by:

P = 3 + 2 x 5 + 2 x 6 = 25 units.

More can be learned about the perimeter of a figure at brainly.com/question/18610622

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