Question

Mmmm Someone Help Please.

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

Answer 1

The parallelogram (to my understanding) just looks like normal parallelogram, so I don't understand what you are referring to a type of a parallelogram?
Perhaps you mean rhombus, square or rectangle.

For area you do, ` base × height `

Answer 2

and for perimeter, add all sides of it.

Answer 3

Yess I got the type of parallelogram and perimeter but i dont know hot to find the area

Answer 4

How*

Answer 5

All sides are 4 units long and they add up to 16 so I know that is the perimeter & for the type of parallelogram I put Rhombus cus thats what it looks like

Answer 6

Have you graphed it?

Answer 7

Yess I know the base is 4 but the height is what we dont know

Answer 8

You can see that each side here is like this,

Answer 9

I don't understand.

Answer 10

https://www.desmos.com/calculator/w5yzw1rijb

Answer 11

these are the points.

Answer 12

Do you understand what I am saying about each side of the parallelogram?

Answer 13

Yeah I understand that. But what im looking for is the height.

Answer 14

you are first looking for each side, to find the correct perimeter.
Your shape is a rhombus, but it is a square (you know what I mean right?)

Answer 15

Can you tell me the exact value of each side (before we go ahead and solve for the area?)

Answer 16

it's 4.

Answer 17

No

Answer 18

So if the leg (not the hypotenuse) was 3, then what would the hypotenuse be equal to ?

Answer 19

3 times the square root of 2

Answer 20

right?

Answer 21

yes, each side is 3√2

So then the perimeter is equal to ...?

Answer 22

the perimeter of a square is ` side × 4 `

Answer 23

12 times the square root of 2?

Answer 24

Yes, bingo :)

Answer 25

Can you find the area ?

Answer 26

No.

Answer 27

area of a square = ` side ²`

Answer 28

But how do you square that

Answer 29

you can see a square (it is rotated 45 degrees, but the shape itself is still a square)
You know that each side of THIS square is ` 3√2 `

Area of a square = ` side × side ` (which is same as, ` side ² ` )

Answer 30

SO the area is ??

Answer 31

9 times the square root of 2

Answer 32

Close, but what you need to do here is

3√2 × 3√2

Answer 33

this means that you multiply 3√2 first by 3 and then times √2 (not just 3√2 × 3)

Answer 34

9 times the quare root of 4?

Answer 35

yes, this is correct... but just one more thing, you know that 4 is a perfect square (as 2² =4 )

So,

9 × √4
is same as saying
9 × ___ ?

Answer 36

√4 is equal to what number ?

Answer 37

is equal to 2 so iit's 18?

Answer 38

Yes, the area is 18 :)
Just to RVW, we got
type of a parallelogram -> square (I would say) I think that rhombus would be correct too.
Perimeter -> 12√2
Area -> 18

Answer 39

Alright, Thank You! :)

Answer 40

Anytime !