Question

What is the perimeter of this rectangle?

Answer 1

Do you have a picture of the rectangle?

Answer 2

what equation do I use to find this?

Answer 3

2(x2-x1)+2(y2-y1) ????

Answer 4

I learn to do it multiply the 2(l)+2(w) but those aren't my choices and I havent been able to find anything on the internet. help please!

Answer 5

These are my other choices
\[2(x2-x1)+2(y2-y1)\]
\[(x2-x1)(y2-y1)\]
\[\sqrt{2(y2-y1)(x2-x1)}\]
\[4\sqrt{y2-y1)^2(x2-x1)^2}\]
\[4(y2-x1)(x2-y1)\]

Answer 6

@whpalmer4 can you help me please!

Answer 7

What is the distance across the top of the rectangle?

Answer 8

i guess I could use the distance formula to find the perimeter but it doesn't look right to me

Answer 9

Don't need the full distance formula if either the x value or the y value is the same. Think number line.

Answer 10

7 units

Answer 11

you don't know the size of the units, unfortunately. The points are labeled with coordinates. The coordinates appear in many of the answer choices. That might be a hint :-)

Answer 12

x an y

Answer 13

be more specific. what are the coordinates of the upper left hand point?

Answer 14

1,2

Answer 15

no. what appears next to the point?

Answer 16

\[(x_1,y_2)\]right?

Answer 17

what are the coordinates of the upper right hand point?

Answer 18

(X2,y2)

Answer 19

oh just noticed that :/ so I need to subract one side because Im multipy by 2

Answer 20

so what is the distance between those two points?

Answer 21

the distance is 1

Answer 22

No, it's not. You do not know the value of any of those letters. You have to write an expression.

Answer 23

You're getting confused by the subscripts, I think.

The left point shall be known as (a,c) and the right point (b,c). What is the distance between them?

Answer 24

\(x_1\) is a particular value of \(x\), but we don't know what its value is. We certainly can't do arithmetic on its subscript!

Answer 25

b-a

Answer 26

Right! So with the original labeling of the points, what is the distance between the upper left hand corner and the upper right hand corner?

Answer 27

\[x_2-x_1\]right?

Answer 28

(x2-x1)^2+(y2-y1^2 no???

Answer 29

X2 -x1 yes

Answer 30

Yes. If the y values are identical, the difference in the x values is the distance. If the x values are identical, the difference in the y values is the distance.

Okay, so what is the distance between the two points on the bottom?

Answer 31

its the same

Answer 32

btw, your use of the distance formula was incorrect, because you didn't plug in the right values. \[d = \sqrt{(x_2-x_1)^2 + (y_2-y_2)^2} = x_2-x_1\]Tripped up by the notation again, no doubt.

Answer 33

That's correct, the bottom length is also \(x_2 - x_1\) (even if we didn't already know this on account of it being a rectangle)

Now, what is the distance between the two point

Answer 34

thanks, OS, no need to supply the rest of what I typed!

"Now, what is the distance between the two points on the left side of the figure?"

Answer 35

1

Answer 36

How, pray tell, did you determine that, when YOU DON'T KNOW WHAT \(x_1,y_1,x_2,y_2\) ARE?!?

Answer 37

You have to do the same thing as before: write an expression using the names you have.