Question

How do you find the perimeter of a quadrilateral using coordinates?

Answer 1

using coordinates find the lengths of each side and then add all the sides.
\[length ~of~side~d=\sqrt{\left( x _{2}-x _{1} \right)^2+\left( y _{2} -y _{1}\right)^2}\]

Answer 2

I am still confused how that formula can apply to all sides if the vertices of the quadrilateral are R(-1,3) S(3,3) T(5,-1) and U(-2,-1)

Answer 3

use the distance formula @sshayer wrote out to find the distance from R to S

what is that distance?

Answer 4

I doesn't provide one in the problem.

Answer 5

Distance Formula
\[\Large d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\]
is what @sshayer wrote out

Answer 6

i give you hint.
if you have to find RS
then take one of the co-ordinates as \[(x _{1},y _{1}) ~other~as~(x _{2},y _{2})\]
you can take x1=-1,y1=3
x2=3,y2=3
and calculate by the above formula.

Answer 7

similarly for ST,TU,UR

Answer 8

Thanks for the hint!

Answer 9

Use the distance formula to find the length of each side of the polygon, using the given coordinates of their endpoints.