Question

Help me find the area and perimeter of a rhombus with the side length of 5.385

Answer 1

I either need a pic, or a measure of the four angles of the rhombus.

Answer 2

P=4(5.385)

Answer 3

This is a picture of my question, but I have already found the length of each side. It is 5.385 @Zelda

Answer 4

@Jonask I have the p, all I need is the area. Idk how though?

Answer 5

this picture is talking about parrallelogram

Answer 6

I know but the shape that was drawn was a rhombus.

Answer 7

look work it out & you will see.

Answer 8

you are talking about a rhombus???

Answer 9

The area of a rhombus is 1/2 * the product of the length of the diagonals.

Answer 10

Yes. & so how do I find the diagonal?

Answer 11

distance formular\[D=\sqrt{x_1-x_2)^2+(y_1-y_2)^2}\]

Answer 12

(-1,2) and (2,-1)

Answer 13

And the other diagonal is (4,4) and (-3,3)

Answer 14

But don't I want the diagonal ?

Answer 15

Yes you do. You need that for area.

Answer 16

So do A = .5 * D1 * D2

Answer 17

Im still confused. To find the area you need to do 1/2 d1 x d2?

Answer 18

But idk how to find diagonal 1?

Answer 19

Yes, so you need both diagonals lengths.

Answer 20

One sec.

Answer 21

\[A=\frac{d_1d_2}{2}\]
\[d_1=3\sqrt{2} \space d_2=5\sqrt{2}\]

Answer 22

So, I attached a Pic, those two are your diagonals, so use the distance formula to get the Diagonal length for (4,4) to (-3,-3) D1, and then (-1,2) to (2,-1) D2. Once you have the lengths:

Use this to find Area:

\[A = \frac{ D1 * D2 }{ 2 }\]

Answer 23

okay D1 = 9.899 & D2 = 4.242 for the lengths? @Zelda

Answer 24

Area = 20.995?

Answer 25

@Jonask is my area right?

Answer 26

D1 = 4,4 & 3,3 you need to find the distance of that right?

Answer 27

sry i was using wrong,i used -3,3 instead of -3,-3 cordinates you are correct

Answer 28

So my area is 21.54

Answer 29

but to be accurate use the roots\[\frac{7\sqrt{2}(3\sqrt{2})}{2}=21\]

Answer 30

Alright thank you!

Answer 31

No problem, your welcome.