Question

A parallelogram has vertices (-1,2), (4,4), (2,-1) and (-3,-3). What is the parallelogram and what is the area and perimeter of it?

Answer 1

plot it

Answer 2

When I plotted it was a rhombus...now all I have to find out is the area and perimeter of it so can you help me with that ?

Answer 3

yea sure...let me try and explain

Answer 4

since it is a rhombus, all sides are equal.
Step 1: Find the length of a side
\[\sqrt{(x _{1}-x _{2})^{2}+(y _{1}-y _{2})^{2}}\]
\[\sqrt{(4--1)^{2}+(4-1)^{2}}\]
\[\sqrt{(25)+(4)}\]
\[\sqrt{29}\]

Area= sidexside
\[\sqrt{29}\times \sqrt{29}=29\]

perimeter=\[\sqrt{29}+\sqrt{29}+\sqrt{29}+\sqrt{29}=4\sqrt{29}\]

Answer 5

hope you have understood

Answer 6

But isn't there like a specific equation for a rhombus or is that the equation just like the area and perimeter of a square?

Answer 7

oh yeah..sorry!

Answer 8

you have the length of the sides, so i guess you can get the diagonals
multiply the diagonals then divide by 2