A parallelogram has the vertices (0, 3), (3, 0), (0, -3) and (-3, 0). Determine what type of parallelogram. Find the perimeter and area.

Question

sirm3d · Answer

it looks like a square to me.

anonymous · Answer

Yes, I believe so too. But how do I find out the perimeter and area?

anonymous · Answer

@ghazi Help please?

sirm3d · Answer

do you know the distance formula between two points?

ghazi · Answer

|dw:1352046959473:dw| what does it look like?

anonymous · Answer

A square?

ghazi · Answer

now if you use $$D= \sqrt {(3-0)^2+(0-3)^2}=3 \sqrt 2$$ for all of them,  yes its a square

ghazi · Answer

also you should calculate distance between diagonals if they comes out to be sqrt 2 * side length then for sure its square :)

ghazi · Answer

@shannon.janette1  clear?

anonymous · Answer

Yes, that is clear to me!(: Can you show me how I find the perimeter and area please?

ghazi · Answer

to find the area use this formula
area of square = (length of the side)^2
and perimeter = length+length+length+length=4*length

anonymous · Answer

So, it would be 3squroot2^2?

ghazi · Answer

area= $$a=(3 \sqrt 2)^2=18$$

anonymous · Answer

Okay! And perimeter would be $$\sqrt[3]{2} + \sqrt[3]{2} + \sqrt[3]{2} + \sqrt[3]{2} \right?$$

ghazi · Answer

yes

anonymous · Answer

Okay, got it! It would be 12Squroot8 but how do I ration it out?