Question

PLEASE HELP ME!!

Find the perimeter of the image below:

Figure QRSTU is shown. Q is at 2, 0. R is at 4, 5. S is at 8, 7. T is at 6, 4. U is at 10, 3.

Answers:
25.8 units

26.1units

27.5 units

28.6 units

Answer 1

is it a trapezoid or trapezium?

Answer 2

can someone please help me

Answer 3

Break it up into 2 triangles and find the perimeters of each by using the co-ordinates to find the length of the sides.

Answer 4

i think its 25.8

Answer 5

so would it be triangle rst, and triangle qtu

Answer 6

\[P_{\triangle}= A+B+C\]
Each letter represents a side

Add up the perimeter of both triangles to find the perimeter of your original shape.

Answer 7

but they're coordinate points

Answer 8

Triangle RST yes, but not QTU because that leaves an empty spot you are not accounting for so, Instead you want to use triangle RST and RUQ

Answer 9

You will need to use the coordinates to find each corresponding distance.

Answer 10

@izzyvelazco i formed a right triangle on all the sides of the figure, and by using the data of the coordinated i got the legth of every line.. i use on ly phytagorean theorem..

Answer 11

but how would you add a+b+c if they're coordinates

Answer 12

You need to find the sides first using the co-ordinates.

Answer 13

Distance between 2 points formula.

Answer 14

anyway use the distance formula like @Johnbc said, i think its the best way to explain my approach...

Answer 15

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

Answer 16

im still confused on this hah, you didn't help me at all.

Answer 17

What are you confused about?
Find the distances of each side of the figure using 2 points and the distance formula and that will get you the value of each side. Break up the figure into simpler pieces, like triangles for example, and then use the formula for the perimeter of a triangle, or whichever other figure you decided to break your original figure into, and then add them up and you will find the perimeter.

Answer 18

We can not help if we are unaware of what you need help on.

Answer 19

how do you get the co coordinates

Answer 20

They are given in your question in the form (X,Y). Each letter above has a corresponding co ordinate.

Answer 21

im confused forget it

Answer 22

For example,
You are given Q is at 2,0.
That is (2,0) in the form (x,y).

Answer 23

Looking at your diagram you can either find side QR or side QU
Using the distance formula which gives you the distance between 2 points and the distance between those 2 points would be the value of the length of that side.

Answer 24

If you decide to break up the figure into a piece then Triangle QRT could be a possibility and then you would also be able to find side QT

Answer 25

The breaking up into pieces is shown below: