Quadrilateral RSTV has vertices R(-4, 6), S(4, 5), T(6, 3), and V(5, -8). Find the perimeter of the quadrilateral. I use the distance formula right?

Question

Quadrilateral RSTV has vertices R(-4, 6), S(4, 5), T(6, 3), and V(5, -8).  Find the perimeter of the quadrilateral. I use the distance formula right?

anonymous · Answer

you could...if i were you i would just graph it and find the distances by counting the blocks. doing the distance formula for all of them is a lot more work!

anonymous · Answer

yeah four times!

anonymous · Answer

@roxygurl there are any boxes on this graph... which sucks..
@satellite seriously?? :(((

mertsj · Answer

Distance Formula four times.

mertsj · Answer

Get out a piece of graph paper and try it roxy

anonymous · Answer

nevermind. i didn't realize the quad has sloped lines. looked like you're stuck with the distance formula !

anonymous · Answer

okay so i did it for the points r-->s and then t--->v now i find the distance from r-->t and s-->v?

anonymous · Answer

yup. distance between (-4, 6) and (4,5) is 
$$\sqrt{65}$$ distance between (4,5) and (6,3) is 
$$2\sqrt{2}$$ distance between (6,3) and (5,-8) is 
$$\sqrt{122}$$ and distance between (5,-8) and (-4,8) is 
$$\sqrt{337}$$ i think i ordered them correctly

anonymous · Answer

you so didnt have to do that for me...

anonymous · Answer

but the distance between (5,-8) and (-4,6) is $$\sqrt{277}$$ you made a mistake with the y2 value of the second coordinate