Question

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.

Answer 1

The Answer is 21.6

Explanation:

Took a test got it right.

Answer 2

Perimeter of rectangle is 21.6 unit

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).

`Length=√((-4-0)^2+(3-(-3))^2)=√(16+36)=7.21unit\\\\Width=√((-4-(-1))^2+(3-5)^2)=√(9+4)=3.61unit`

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

Perimeter = 21.6 unit

Perimeter of rectangle is 21.6 unit