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)
Stacey Warren - Expert brainly.com
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whoa... please do not mass tag. It's a form of spam on OS
A = L X W
area of the rectangle = length x width
do u understand the question????
so given area
hmmm... perimeter is
P=2L+2W but it's not asking that..
it wants to know where she went wrong
area -> 6+8x
width -> 2
length -> ?
area = width x length
and supposedly to get length by itself we have to divide 2
6+8x = 2(3+4x)
ok the width is 2 and the length is 3+4x. student messed up really early.
looks like she is going backwards
step 1 we have
split these two numbers up
the 2 is yanked out
6x+8 = 2(3+4x)
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 ^^
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
sorry stuck in reply mode.
so step 2 was the wrong one
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
Step 2; 2(4) + 2(4x)
Step 2; 2(3) + 2(4x)
which one is right
._. the second one
distribute the 2
we got the wrong number with x again
we were NOT given that
2(3) + 2(4x)
6+8x which is the area we were given in the first place
sorry stuck in reply mode.. don't know what's going on ^^
but recommendation to student
use the formula A = L X W it's easier
thx soo much
i will ask more questions later will u be here
in like 10 min
depends. It's the middle of the night where I live...
yeah sure. It also depends on the question too...
easier than this one
where do u live???
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