Question

The coordinates for the points of a two-dimensional shape are (0 2), (-3, 1), (3, -1). Plot each point on a coordinate grid and answer the following questions. A) What is the shape? B) What is the approximate perimeter of the shape?

Answer 1

To calculate the perimeter of the shape, we need to use the formula of distance between points:

`\begin{gathered} AB=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}} \\ AB=\sqrt[]{(3-0)^2+(-1-2)^2}=\sqrt[]{3^2+(-3)^2}=\sqrt[]{9+9}=\sqrt[]{18} \end{gathered}`
`BC=\sqrt[]{(3-(-3)^2)+(-1-(-1))^2}=\sqrt[]{81}=9`
`CA=\sqrt[]{(-3-0)^2+(1-2)^2}=\sqrt[]{9+1}=\sqrt[]{10}`

The perimeter would be:

`\sqrt[]{18}+9+\sqrt[]{10}`