The coordinates of the vertices of a rectangle are (−4, 3) , (−1, 5) , (3, −1) , and (0, −3) .

What is the perimeter of the rectangle? Round each step to the nearest tenth.

Enter your answer as a decimal in the box.

Respuesta :

Perimeter of rectangle is 21.6 unit

Step-by-step explanation:

Refer the figure, we need to find perimeter of rectangle formed by these points.

Let us use distance formula

Length of rectangle is given by distance from (−4, 3) to (0, −3) and width is given by distance from (−4, 3) to (−1, 5).

[tex]Length=\sqrt{(-4-0)^2+(3-(-3))^2}=\sqrt{16+36}=7.21unit\\\\Width=\sqrt{(-4-(-1))^2+(3-5)^2}=\sqrt{9+4}=3.61unit[/tex]

Perimeter = 2(Length + width) = 2 x ( 7.21+3.61) = 21.64 unit

Perimeter = 21.6 unit

Perimeter of rectangle is 21.6 unit

Ver imagen agaue
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Answer:

The Answer is 21.6

Step-by-step explanation:

Took a test got it right.