Mathematics
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OpenStudy (anonymous):
The width of a rectangle is 6 in. less than its length. The perimeter is 68 in.
What is the width of the rectangle?
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OpenStudy (anonymous):
im a bit confused
jimthompson5910 (jim_thompson5910):
I'd start off by drawing a picture
|dw:1449193043364:dw|
jimthompson5910 (jim_thompson5910):
L = some unknown length
the width is L-6 since the width is 6 less than the length
|dw:1449193079843:dw|
jimthompson5910 (jim_thompson5910):
to get the perimeter, add up all 4 sides
then set it equal to the given perimeter 68
solve for L and then use it to find L-6
OpenStudy (anonymous):
68/4 right?
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OpenStudy (anonymous):
hello?
jimthompson5910 (jim_thompson5910):
let me check
OpenStudy (anonymous):
ok
jimthompson5910 (jim_thompson5910):
how did you get to 68/4?
can you tell me what you got for L itself?
OpenStudy (anonymous):
i havent went that far im confused on the formula
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jimthompson5910 (jim_thompson5910):
do you agree with this drawing?
|dw:1449193547741:dw|
OpenStudy (anonymous):
yeah it makes sense
jimthompson5910 (jim_thompson5910):
ok what happens when you add up all the sides?
jimthompson5910 (jim_thompson5910):
what expression do you get?
OpenStudy (anonymous):
p-12
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jimthompson5910 (jim_thompson5910):
L+L = ???
OpenStudy (anonymous):
0
jimthompson5910 (jim_thompson5910):
1 apple + 1 apple = 2 apples
1 L + 1 L = ???
OpenStudy (anonymous):
oh 2L i was thinking l was taking place 4 a number
jimthompson5910 (jim_thompson5910):
ah I see
anyways, what is (L-6) + (L-6) equal to?
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OpenStudy (anonymous):
= p-12 p= perimeter
jimthompson5910 (jim_thompson5910):
I agree with the -12
where did the p come from? we're working with L for now
jimthompson5910 (jim_thompson5910):
(L-6) + (L-6) = 2L - 12
OpenStudy (anonymous):
oh wait L-12 we arent at permeter yet
jimthompson5910 (jim_thompson5910):
if you add up ALL four sides, we will get 4L - 12
make sure you understand how I got 4L - 12. If you don't see how I got it, feel free to ask
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OpenStudy (anonymous):
each side is one L right?
jimthompson5910 (jim_thompson5910):
there are 2 sides that are L
there are 2 sides that are L-6
jimthompson5910 (jim_thompson5910):
|dw:1449194028842:dw|