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

Sagot :

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]
View image YassineU470500
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