Question

What is the perimeter of this rectangle?
(x, y2)
(X, Y)
(x, y)
(X2, X, )

Answer 1

Given

Rectangle

Find

Perimeter of this rectangle

Step-by-step explanation

First we will find the sides of given rectangle by using distance formula

`\begin{gathered} AB=√((x_2-x_1)^2+\left(y_2-y_2\right)^2)=(x_2-x_1) \\ BC=√((x_2-x_2)^2+(y_1-y_2)^2)=(y_1-y_2) \\ CD=√((x_2-x_1)^2+(y_1-y_1)^2)=(x_2-x_1) \\ DA=√((x_1-x_1)^2+(y_1-y_2)^2)=(y_1-y_2) \end{gathered}`

so, the perimeter =

`\begin{gathered} x_2-x_1+y_1-y_2+x_2-x_1+y_1-y_2 \\ 2(x_2-x_1+y_1-y_2) \end{gathered}`

Final ANswer

the perimeter of this rectangle =

`2(x_2-x_1+y_1-y_2)`