Question

What is the perimeter of this rectangle?

A.) 2(x2 − x1) + 2(y2 − y1)B.) (x2 − x1)(y2 − y1)C.)sqrt 2(y2-y1)(x2-x1)D.)4sqrt (y2-y1)^2(x2-x1)^2E.)4(y2 − x1)(x2 − y1)

Answer 1

We will have the following:

First, we can see that the perimeter of the rectangle will be given by:

`\begin{gathered} p=2√((y_2-y_1)^2+(x_1-x_1)^2)+2√((y_2-y_2)^2+(x_2-x_1)^2) \\ \\ \Rightarrow p=2√((y_2-y_1)^2)+2√((x_2-x_1)^2) \\ \\ \Rightarrow p=2(y_2-y_1)+2(x_2-x_1) \end{gathered}`

So, we can see that the perimeter of the shape is option A.