The work of a student to find the dimensions of a rectangle of area 6 + 8x and width 2 is shown below:
Step 1: 6 + 8x
Step 2: 2(4) + 2(6x)
Step 3: 2(4 + 6x)
Step 4: Dimensions of the rectangle are 2 and 4 + 6x
In which step did the student first make an error and what is the correct step?
Step 3; 2 + (4 + 6x) Step 3; 2 + (4 ⋅ 6x) Step 2; 2(4) + 2(4x) Step 2; 2(3) + 2(4x)

- anonymous

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- chestercat

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- anonymous

@UsukiDoll

- UsukiDoll

let me read and catch up on that for a bit.

- anonymous

k

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## More answers

- anonymous

@DeltaForce

- anonymous

@DarkMoonZ

- anonymous

@Donblue

- anonymous

@unicwaan

- anonymous

@shinebrightlikeadimon

- UsukiDoll

whoa... please do not mass tag. It's a form of spam on OS
and anyway
A = L X W
area of the rectangle = length x width

- anonymous

oh sry

- anonymous

do u understand the question????

- UsukiDoll

so given area
6+8x
width
2
6+8x =2L

- UsukiDoll

hmmm... perimeter is
P=2L+2W but it's not asking that..

- anonymous

it wants to know where she went wrong

- UsukiDoll

area -> 6+8x
width -> 2
length -> ?
area = width x length
6+8x=2L
and supposedly to get length by itself we have to divide 2
3+4x=L

- UsukiDoll

so
6+8x = 2(3+4x)
ok the width is 2 and the length is 3+4x. student messed up really early.

- anonymous

ya

- UsukiDoll

looks like she is going backwards
step 1 we have
6+8x
then
split these two numbers up
2(3)+2(4x)
the 2 is yanked out
2(3+4x)
yay!
6x+8 = 2(3+4x)
6x+8=6+8x

- UsukiDoll

Step 2; 2(3) + 2(4x) <- this is the correct one. It took a while because I haven't done this in years, but with patience we got what we need ^^

- anonymous

yup

- UsukiDoll

an that part works because
I was using A =WL
6+8x=2L and solved for L
which was 3+4x=L
so by looking at her work carefully I see that she did it differently by not using the formula A =L X W
so she split 6 and 8 and factored out a 2 but in her original step 2 she wrote the wrong number

- UsukiDoll

sorry stuck in reply mode.

- anonymous

so step 2 was the wrong one

- UsukiDoll

oh yeah
we can prove that with ease
given that A = 6x+8 and width 2
on her step 2 she had
Step 2: 2(4) + 2(6x)
which doesn't make sense
that 8+12x which is the wrong area

- anonymous

Step 2; 2(4) + 2(4x)
Step 2; 2(3) + 2(4x)
which one is right

- UsukiDoll

._. the second one

- UsukiDoll

distribute the 2
on 2(4)+2(4x)
we got the wrong number with x again
8+8x
we were NOT given that

- UsukiDoll

2(3) + 2(4x)
that's
6+8x which is the area we were given in the first place

- UsukiDoll

sorry stuck in reply mode.. don't know what's going on ^^

- UsukiDoll

but recommendation to student
use the formula A = L X W it's easier

- anonymous

thx soo much

- anonymous

i will ask more questions later will u be here

- anonymous

in like 10 min

- UsukiDoll

depends. It's the middle of the night where I live...
yeah sure. It also depends on the question too...

- anonymous

easier than this one

- anonymous

where do u live???

- anonymous

what country

- UsukiDoll

Personal information shouldn't be discussed on OpenStudy... Code of Conduct.

- anonymous

ohh sorry didnt know

- anonymous

sorry, i was late to reply to this @3.14192653589

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