Find detailed and accurate answers to your questions on IDNLearn.com. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.
Given
Rectangle
Find
Perimeter of this rectangle
Explanation
First we will find the sides of given rectangle by using distance formula
[tex]\begin{gathered} AB=\sqrt{(x_2-x_1)^2+\left(y_2-y_2\right)^2}=(x_2-x_1) \\ BC=\sqrt{(x_2-x_2)^2+(y_1-y_2)^2}=(y_1-y_2) \\ CD=\sqrt{(x_2-x_1)^2+(y_1-y_1)^2}=(x_2-x_1) \\ DA=\sqrt{(x_1-x_1)^2+(y_1-y_2)^2}=(y_1-y_2) \end{gathered}[/tex]so, the perimeter =
[tex]\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}[/tex]Final ANswer
the perimeter of this rectangle =
[tex]2(x_2-x_1+y_1-y_2)[/tex]