Mathematics
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OpenStudy (anonymous):
The length of a rectangle is 8 in. more than its width. The perimeter is 52 in.
What is the length of the rectangle?
@pooja195
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pooja195 (pooja195):
\[\huge~\rm~L=w+8\]
The formula for perimeter is
\[\huge~\rm~P=2L+2w\]
We know that the perimeter is 52in
OpenStudy (anonymous):
i dont understand
OpenStudy (anonymous):
oh ok
pooja195 (pooja195):
Let's try an easier approach .-.
2L+2W=52 <---equation for perimeter
W=L-8 <---re-arranged equation for length
pooja195 (pooja195):
Basically take equation 2 and plug it in place of w in equation 1
\[\huge~\rm~2L+2(L-8)=52 \]
From here solve for L
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OpenStudy (anonymous):
4L(L-8)=52?
pooja195 (pooja195):
Can you show me the steps you did to get that so i can find your mistake?
OpenStudy (anonymous):
i added 2L+2
OpenStudy (anonymous):
Solve the following for L, the length :
2( (L-8) + L ) = 52
pooja195 (pooja195):
Ok
Start by distributing
2(L−8)
2 x L =2L
2 x -8=?
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OpenStudy (anonymous):
2x-8= -16?
pooja195 (pooja195):
Good
Good so now we have
\[\huge~\rm~2L+2L-16=52 \]
combine like terms
OpenStudy (anonymous):
this is the part that always gets me
pooja195 (pooja195):
Combine the l's together
2+2=?
OpenStudy (anonymous):
4L
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pooja195 (pooja195):
Good
\[\huge~\rm~4L-16=52\]
now add 16 to both sides
52+16=?
OpenStudy (anonymous):
4L=36
pooja195 (pooja195):
56+12=36?
OpenStudy (anonymous):
?
pooja195 (pooja195):
52+16=?
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OpenStudy (anonymous):
68
pooja195 (pooja195):
4L=68 divide both sides by 4
4/4=1
just L
68/4=?
OpenStudy (anonymous):
68/4=17
pooja195 (pooja195):
Good we we have L=17 :)
OpenStudy (anonymous):
WOW Thank you
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pooja195 (pooja195):
yw ^_^