the length of a rectangle is 5 times its width. if the perimeter of the rectangle is 60ft, find its area. need help again!
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OpenStudy (lgbasallote):
let l = length
w = width
perimeter = l + l + w + w = 60
it says length is 5 times its width so l is 5 times w
l = 5w
perimeter = 5w + 5w + w + w = 60
solve for w
OpenStudy (lgbasallote):
then tell me what you got
OpenStudy (anonymous):
i dont get it because dont you need to know what w is? thats where im confuded i dont know how to solve it..
OpenStudy (lgbasallote):
that's why you solve for w. to get the value of w. make sense?
OpenStudy (anonymous):
ok but why does 5 work into that?
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OpenStudy (lgbasallote):
because perimeter is l + l + w + w right?
OpenStudy (anonymous):
ya
OpenStudy (lgbasallote):
and it was said that length is 5 times its width so
l = 5w
i just put in that value of l into l + l + w + w
5w + 5w + w + w = perimeter
OpenStudy (lgbasallote):
got it now?
OpenStudy (anonymous):
soooo its just 5x5?
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OpenStudy (anonymous):
im guessing im wrong..
OpenStudy (lgbasallote):
why is there a multiplication?
OpenStudy (anonymous):
i just thought because it has to equal 60..
OpenStudy (lgbasallote):
5w + 5w + w + w = 60
10 w + 2w = 60
12w = 60
solve for w
OpenStudy (anonymous):
5?
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OpenStudy (lgbasallote):
right w is 5
OpenStudy (anonymous):
because 12 divided by 60 is 5
OpenStudy (lgbasallote):
now solve for l
OpenStudy (anonymous):
what does the problem look like?
OpenStudy (anonymous):
solving for l i mean
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OpenStudy (anonymous):
..... you there?
OpenStudy (lgbasallote):
lol sorry..too many notifications i didnt notice you replied
OpenStudy (lgbasallote):
remember that thing i said a while ago? length is 5 times its width
l = 5w
OpenStudy (anonymous):
its fine haha ok then l is five?
OpenStudy (lgbasallote):
not exactly...what's your w?
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OpenStudy (anonymous):
5
OpenStudy (anonymous):
but if l=5w theres nothing to solve there
OpenStudy (lgbasallote):
substitute 5 into w
OpenStudy (anonymous):
so l equals 5 times 5?
OpenStudy (jiteshmeghwal9):
Let the width be 'x'. then
given:l=5*x=5x
perimeter of a rectangle=2(l+b)
A/q,
2(5x+x)=60
10x+2x=60
12x=60
x=60/12=5
now plug the value of x in the l & w.
width=x=5
length=5*5=25
area=l*b
25*5=125 Ans.
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OpenStudy (jiteshmeghwal9):
@cdub353 gt it???????
OpenStudy (lgbasallote):
yes @cdub353
OpenStudy (lgbasallote):
so what would be l then?
OpenStudy (anonymous):
ok ok ok this is making more sense now thanks to both of you!
OpenStudy (jiteshmeghwal9):
are u asking to me @lgbasallote ??
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OpenStudy (anonymous):
25 and then 25x5=125
OpenStudy (lgbasallote):
yup
OpenStudy (lgbasallote):
now you got it ^_^
OpenStudy (anonymous):
thank you!
OpenStudy (jiteshmeghwal9):
yw:)
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OpenStudy (anonymous):
sooo now i have a slope question
OpenStudy (lgbasallote):
lol =)) post it as a new question. youll get more help that way