the length of a rectangle is 2 meters more than its width. if the area is 63 square meters, what are the length and width?
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OpenStudy (anonymous):
length=2+ width
now area of rectangle= (length)(width)= 63
OpenStudy (anonymous):
\[l=2+w\]
\[A=lw=63\]
OpenStudy (anonymous):
(2+width)*width=63
w^2+2w-63=0 can you do it now?
OpenStudy (anonymous):
(w+9)(w-7)=0
w=9,7
OpenStudy (anonymous):
@RenaeMonroe ??
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OpenStudy (anonymous):
9*7 =63 and 7+2=9
OpenStudy (anonymous):
how did you get 9,7 ???
OpenStudy (anonymous):
by solving and factorizing \[w^2+2w-63=0\]
OpenStudy (anonymous):
\[w^2+9w-7w-63=(w+9)(w-7)\]
OpenStudy (anonymous):
k i see
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OpenStudy (anonymous):
hope that helps you
OpenStudy (anonymous):
it has thank you
let me see if i can find the length and width
then i will post it and you can tell me if it is right or wrong
OpenStudy (anonymous):
sure
OpenStudy (anonymous):
ok im lost i cant figure out what to do
OpenStudy (anonymous):
see you got w=-9,7 so -9 can't be a length therefore 7=width
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OpenStudy (anonymous):
where did you get -9
OpenStudy (anonymous):
see we have (w+9)(w-7)=0 therefore w =-9 and 7
OpenStudy (anonymous):
ok so i have a=l*w
63=(w+2)*w
63=w^2+2w
0=w^2+2w-63
0=(w-7)(w+9)
w-7=0 or w+9=0
w=7 or w=-9
but -9 wont work because you can not have a negative length so the only right answer is w=7
is this right
OpenStudy (anonymous):
yes correct
OpenStudy (anonymous):
thank you for helping
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