Mathematics
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OpenStudy (anonymous):
l:b::7:5 and area is 1260cm²
find the perimeter of the rectangle
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OpenStudy (anonymous):
@megangray32
@JayDS
@BasedGod1122
OpenStudy (jtvatsim):
l:b :: 7:5 means that l = 7x and b = 5x for some unknown
OpenStudy (jtvatsim):
if you plug that into a rectangle, use the formula for area and set that equal to 1260, you should have your answer.
OpenStudy (anonymous):
35X = 1260CM²
OpenStudy (jtvatsim):
35x^2 watch for the squared. :)
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OpenStudy (anonymous):
WHAT?
OpenStudy (jtvatsim):
(7x)(5x) = 35x^2
OpenStudy (jtvatsim):
do you see that? :)
OpenStudy (anonymous):
okay now waht
OpenStudy (jtvatsim):
first get rid of that pesky 35 by division
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OpenStudy (anonymous):
how?
OpenStudy (jtvatsim):
you have 35x^2 = 1260 right? So divide both sides by 35.
OpenStudy (anonymous):
6?
OpenStudy (jtvatsim):
almost, not quite since 35 * 6 = 210 :)
OpenStudy (anonymous):
36?
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OpenStudy (jtvatsim):
good! :)
OpenStudy (jtvatsim):
so now, x^2 = 36 any ideas?
OpenStudy (anonymous):
so is x 6?
OpenStudy (jtvatsim):
yahoo! you got it!
OpenStudy (jtvatsim):
but we aren't done yet... :)
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OpenStudy (anonymous):
so l is 42 and b is 30?
OpenStudy (jtvatsim):
good, so the perimeter is?
OpenStudy (anonymous):
144?
OpenStudy (jtvatsim):
yep yep!
OpenStudy (jtvatsim):
nicely done
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OpenStudy (anonymous):
what is the units for perimeter 144 cm feet or what
OpenStudy (jtvatsim):
well, the area is cm^2, so we have to be something in cm, and length is measured in cm.
OpenStudy (jtvatsim):
so 144 cm like you said.