Question

Please help asap! :) will give fan and medal!

Answer 1

@SolomonZelman @AnswerMyQuestions @iGreen

Answer 2

please someone help! :(

Answer 3

@StudyGurl14

Answer 4

They give you the length of AB and AD, and the total length (perimeter).
AB - 10m
AD - 8m
Perimeter: 58m
You are left without knowing the lengths of sides CD and BC. BUT, you do know that the ratio of CD: BC is 2:3
*Remember: You want to find the length of GH, which is the same as CD.*

First Step: You want to figure out the total length of sides CD and BC. How can you do that?

Answer 5

I don't know :( I don't understand ratios

Answer 6

The first stpe has nothing to do with ratios.

Answer 7

You have four sides. The TOTAL length of the four sides is 58 m. One side has a length of 10m. One side has a length of 8m. How can you find teh total length of the remaining two sides?

Answer 8

do you subtract the length of AB and AD from the perimeter?

Answer 9

Correct. ^

Answer 10

Tell me what you get. :)

Answer 11

40

Answer 12

Correct.

Answer 13

The Second Step:
You can set up these two equations based on the information given in the problem.
*Remember that a ratio is the same thing as a fraction*

\(\Large \frac{CD}{BC}=\frac{2}{3}\) and... \(\large CD+BC=40\)

Solve the system of equations.

Answer 14

CD = 20 and BC = 13.33333....

Answer 15

is that right?

Answer 16

No, sorry that's incorrect. Can you show me what you did to get that answer?

Answer 17

actually is this it? \[\frac{ 2 }{ 3 } = \frac{ 40 }{ 1 }\]
then I got\[\frac{ 80 }{ 3 } = 26.666...\]

Answer 18

I don't know what I'm doing :(

Answer 19

No...that's not how you solve it.

Answer 20

First, you do this:
\(\Large\frac{CD}{BC}=\frac{2}{3}\rightarrow\large 3CD = 2BC\)

And this:
\(\large CD+BC=40\rightarrow CD=40-BC\)

Now try solving.

Answer 21

so is the equation 3CD = 40 - 2BC?
don't I need to know the length of either CD or BC to solve that?

Answer 22

not quite. Plug in 40-BC for Cd in the first equation

Answer 23

\(\large 3CD=2BC\rightarrow3(40-BC)=2BC\)
Solve for BC

Answer 24

Once you find BC, subtract that from 40 and you'll get CD (your answer)

Answer 25

I got 120 = -BC

Answer 26

but I am 100% sure that isn't right

Answer 27

@StudyGurl14 ?

Answer 28

No, that's not right, haha

Answer 29

almost though. the 120 part is right.

Answer 30

does CD = 16 and BC = 24?

Answer 31

Nice!

Answer 32

You're correct. So the answer is 16

Answer 33

10 + 8 + 2x + 3x = 58
18 + 5x = 58
5x = 40
x = 8

then I substituted.
CD: 2x
2(8)
16

and BC:
3x
3(8)
24

Answer 34

that's what I did

Answer 35

That works too. Nice job. :)
There are almost always several ways to solve these types of problems. Great job doing it your own way. It helps you remmeber it better than learning someone else's way

Answer 36

thanks so much for your help! :)