Ask your own question, for FREE!
Mathematics 13 Online
OpenStudy (anonymous):

Question below. please help

OpenStudy (anonymous):

OpenStudy (nikato):

So what is the perimeter of a triangle?

OpenStudy (anonymous):

perimeter means the sum of the lengths of all the sides...

OpenStudy (anonymous):

the perimiter of the triangle is 63 units

OpenStudy (anonymous):

first you need to find x, and this can be found using the perimeter

OpenStudy (anonymous):

The perimeter is 3x. Is it asking for a numerical answer?

OpenStudy (anonymous):

no, its asking for the length of side PR

OpenStudy (anonymous):

the sum of all the sides is 63, and from the diagram you know that it also equals to 6x + 3 (just add all of it together)

OpenStudy (anonymous):

The answer is 30.

OpenStudy (anonymous):

set it equal, and you have x. After you know what that is, just fine the length of PR (multiply your number x with 3)

OpenStudy (anonymous):

30 is right :)

OpenStudy (anonymous):

OpenStudy (anonymous):

The perimeter is the length of every side added together. Therefore, the perimeter is 3x + x + 1 + 2x + 2. This simplifies to 6x + 3. Because the perimeter equals 63, 6x + 3 = 63. You want to isolate x, so subtract 3 from both sides. Now you have 6x = 60. Divided both sides by 6 to get x by itself. Now you know that x = 10. Because the length of PR is 3x, just plug 10 into that and you get 3 times 10, which equals 30.

OpenStudy (anonymous):

what about the second one i just posted

OpenStudy (anonymous):

OpenStudy (anonymous):

I wanted to explain the first problem. Hopefully you understand it.

OpenStudy (anonymous):

Thanks so much, lots of help. but the second one is a little different. can you help with the second one

OpenStudy (anonymous):

I think that you posted the same one.

OpenStudy (anonymous):

opps yes i did! sorry! im going to post the new one now

OpenStudy (anonymous):

OpenStudy (anonymous):

Okay, so the problem doesn't tell you the length of PQ, right?

OpenStudy (anonymous):

nope just says the rectangle is 130 units

OpenStudy (anonymous):

Well you do know the length of SR and because this is a rectangle, SR is the same length as PQ. The two sides have the same length, right?

OpenStudy (anonymous):

yes so the answere would be 5y - 1?

OpenStudy (anonymous):

It must be a numerical answer, 50 for example.

OpenStudy (anonymous):

Just like the last problem.

OpenStudy (anonymous):

ohh okay, so how do i find it? sorry i'm confused

OpenStudy (anonymous):

PQ is the same as SR and SP is the same as RQ, right?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Because of this, you would multiply SR by 2 and RQ by 2, correct?

OpenStudy (anonymous):

Because they are the same, you are adding 5y - 1 to 5y - 1 and 4y + 3 to 4y + 3, correct?

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

Because you are trying to find the perimeter, you are adding all of the sides together. Now you have 5y - 1 + 5y - 1 + 4y + 3 + 4y + 3, correct?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

so it would be 18y+6?

OpenStudy (anonymous):

Can you simplify this?

OpenStudy (anonymous):

18Y + 6

OpenStudy (anonymous):

Sorry, didn't see that.

OpenStudy (anonymous):

Close, but what about the -1s?

OpenStudy (anonymous):

-1 + -1 = -2. You forgot to add that to 6. Because you are combining like terms, you are going to add -1 to -1 to 3 to 3. What does that equal?

OpenStudy (anonymous):

so 18Y + 4

OpenStudy (anonymous):

Correct!

OpenStudy (anonymous):

so i would devid 4 by each side?

OpenStudy (anonymous):

Each side of what?

OpenStudy (anonymous):

devid 4 by 18?

OpenStudy (anonymous):

18y + 4 is one side. What is the other?

OpenStudy (anonymous):

what do i do with the 18y + 4

OpenStudy (anonymous):

18y - 4 = 130, correct?

OpenStudy (anonymous):

yes so thats the answer?

OpenStudy (anonymous):

Wrong. 18y + 4 = 130, not 18y - 4.

OpenStudy (anonymous):

so how do i do that?

OpenStudy (anonymous):

I was just making sure you were paying attention.

OpenStudy (anonymous):

Your goal is to isolate x. How do you do that?

OpenStudy (anonymous):

I am i just get confused with - and +

OpenStudy (anonymous):

Oh, okay. Sometimes I am too. :)

OpenStudy (anonymous):

by subtracting 4 on each side? i thinl

OpenStudy (anonymous):

I actually made that mistake ALL THE TIME in 7th grade. :p

OpenStudy (anonymous):

subtract 4 off of 18y

OpenStudy (anonymous):

Correct! Subtract 4 from each side.

OpenStudy (anonymous):

Now what do you have?

OpenStudy (anonymous):

14y

OpenStudy (anonymous):

No, you subtract 4 from 4, not from 18y.

OpenStudy (anonymous):

oh so all thats left would be 18y

OpenStudy (anonymous):

You want to get rid of 4. To do that, you subtract it from itself.

OpenStudy (anonymous):

Correct. You would be left with 18y. What would you have on the other side?

OpenStudy (anonymous):

what other side

OpenStudy (anonymous):

You have 18y = 130. The perimeter of the rectangle is 130.

OpenStudy (anonymous):

You are subtracting 4 from both sides.

OpenStudy (anonymous):

so now devid 18 from 130?

OpenStudy (anonymous):

No, you have to subtract 4 from both sides. 18y + 4 = 130. When you subtract 4 from both sides, what do you get?

OpenStudy (anonymous):

18y=126

OpenStudy (anonymous):

Yes! Now you can divide 18 from both sides. :)

OpenStudy (anonymous):

answere will be 7

OpenStudy (anonymous):

Correct.

OpenStudy (anonymous):

That is not the final answer, however.

OpenStudy (anonymous):

yay! thanks so much

OpenStudy (anonymous):

Your goal is to find the length of PQ.

OpenStudy (anonymous):

7 isnt the answer

OpenStudy (anonymous):

y = 7. Your goal is to find the length of PQ. Because PQ is the same as SR, PQ equals 5y - 1. Because you know the value of y, you can plug it into 5y -1. Do you understand?

OpenStudy (anonymous):

so answere is 34

OpenStudy (anonymous):

yay i was right!! i have one more! can you please give me the answere in message?

OpenStudy (anonymous):

OpenStudy (anonymous):

@micahpkay

OpenStudy (anonymous):

Oh, sorry. I left for a while.

OpenStudy (anonymous):

Wow! This one looks REALLY hard. O_O

OpenStudy (anonymous):

Just add up the sides. What do you get?

OpenStudy (anonymous):

OpenStudy (anonymous):

the perimeter formula is 2(l + w). So, in this case it's 2(5z + 4z + 3) = 18z + 6 = 222. Then just solve for z :)

OpenStudy (anonymous):

so it would be 32z + 9 = 222?

OpenStudy (anonymous):

no, i already multiplied it by two, and its 18z + 6 = 222

OpenStudy (anonymous):

so now do i subtract 6 from 222

OpenStudy (anonymous):

O.o... It's just 222-6, so it's 216

OpenStudy (anonymous):

so now it's 18z = 216

OpenStudy (anonymous):

so 216 devided by 18 now?

OpenStudy (anonymous):

yes

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!