Question

The rectangles in figure below are similar. find the value x

A) 2.4

B) 2.7

C) 6

D) 6.7 <-------

can somebody double check this PLZZZZZZZZZ FAN AND MEDAL

Answer 1

we need the diagram....

Answer 2

oh ok

Answer 3

I'm working on it now. I think I know how to do it.

Answer 4

ok I got a question

Answer 5

What's your question?

Answer 6

ok I did 4x5= 20 right and then I did 20/3=6.666666667 and then I rounded it up and it gave me 6.7

Answer 7

don't you suppose to do it like that

Answer 8

I'm guessing. I kept getting x = 10. I'll just go with our answer. Sorry.

Answer 9

are you sure

Answer 10

Why you did that?

Answer 11

did what?

Answer 12

did 4x5= 20 and then you did 20/3=6.666666667 and then you rounded it up

Answer 13

because aren't you suppose to round it to the highest tens

Answer 14

i mean why you did 4x5 and then you divided by 3

Answer 15

ok Look at the problem

Answer 16

i ve already looked at it

Answer 17

but i dont understand why you did tht

Answer 18

that's how I figure it out I can't explain it

Answer 19

you should do procedures you cant explain because that means they are no reasonable and therefore they are wrong.

Answer 20

in your procedure you've never used the information about the similar rectangles

Answer 21

ok Look how do you found x so the only choice is to do 4x5=20 right and then do 20/3=6.666666667 and the round that 6 up and it will give you 6.7

Answer 22

If they are similar, then the base and height are proportionally equal.

\[\frac{ B1 }{ H1 }=\frac{ B2 }{ H2 }\]So, applying this to the actual problem:\[\frac{ x+4 }{ 5 }=\frac{ x }{ 3 }\]
\[3x+12=5x\]
Finally you have to resolve this equation to find x

Answer 23

and trust me, if you cant justify what you are doing, please dont do it. It just a helpful advice

Answer 24

Don't you suppose to subtract the variables first

Answer 25

why?

Answer 26

so you saying 3x+12=5x right

Answer 27

The Base of the bigger rectangle is x+4 and the base of the other is x, the height of the bigger is 5 and the height of the other is 3. I just plot this information in the first equation

Answer 28

yep

Answer 29

So If you doing 3x+12=5x don't you subtract the variables

Answer 30

Oh yes , i left to you that work

Answer 31

when you substract the variables and resolve the equation you will find x

Answer 32

ok I did 3 on both sides so I canceled out the 3-3 and did 15-3 and gave me 12

Answer 33

what?

Answer 34

do you know how to resolve and equation?

Answer 35

@youngnephew34
@EmmaTassone is correct

the ratio of the sides is

x+4/5
and x/3

since the shapes are similar then thes two ratios are EQUAL

the equation given by @EmmaTassone above will lead to the correct answer

Answer 36

pk Look you are doing 3 on both sides so cancel out the 3-3 and do 15-3 and it gave me 12

Answer 37

so if I jump the 12 in the middle of the equation how do 12=12

Answer 38

3x+12=5x

SUBTRACT 3x from each side of the equation...

write the result here....

Answer 39

that's what I am saying

Answer 40

so - do it

Answer 41

you did it wrong, try doing it again

Answer 42

so I did 5-3 and it gave me 2

Answer 43

yep

Answer 44

it's 5x - 3x

NOT 5-3

Answer 45

you going to do 12=2x

Answer 46

correct

Answer 47

6=x

Answer 48

well, thats the final solution

Answer 49

now check it by looking at the ratio of the rectangle sides...

Answer 50

so plug in the 6 into the x

Answer 51

yes

then
what is the ration of the sides of the BIG rectangle?
what is the ration of the sides of the SALL rectangle?

Answer 52

^^ ratio ... not ration!

Answer 53

ummmmmmm so you would do 3(6)+12=5(6)

Answer 54

NO

If x = 6
then divide the long side of the small rectangle by the short side of the small rectangle
then divide the long side of the large rectangle by the short side of the large rectangle

If thase two values are the SAME - then your answer (x=6) is correct