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Mathematics 10 Online
OpenStudy (barrelracing):

kind of confusing word choice. did i set this up correctly? 3m-2w=14m^2 ?

OpenStudy (barrelracing):

OpenStudy (asett):

No, the 3-2WIDTH = the LENGTH, not the area :) Try again!

OpenStudy (barrelracing):

im not exaclty sure on any other way to set it up :( @asett

OpenStudy (asett):

That's okay! :) So, we know that 2w-3=l We also know the area: 14m^2=l*w. So, now you just have to substitute in an equation and solve!

OpenStudy (asett):

Does that make sense?

OpenStudy (barrelracing):

ok let me figure this out lol

OpenStudy (barrelracing):

14m^2=2w-3 ?

OpenStudy (asett):

Good, but don't forget your other w in that equation: 14=(2w-3)w Also, drop your units. :)

OpenStudy (barrelracing):

so then it would be 14=2w^2-3w?

OpenStudy (asett):

Good! Now, move your 14 to the other side using algebra

OpenStudy (barrelracing):

0=2w^2-3w-14

OpenStudy (asett):

Good, now factor!

OpenStudy (barrelracing):

w=-2, 7/2?

OpenStudy (barrelracing):

@asett

OpenStudy (asett):

Good, now we know that we can never have a negative measurement, right? So we drop the -2 and are left with 3.5. Now solve for L

OpenStudy (barrelracing):

2(3.5)-3=l ? l=4?

OpenStudy (shelbywyatt):

yes

OpenStudy (barrelracing):

@asett

OpenStudy (asett):

Wel, it would be, but when we plug those values into to the second equation to check our answer, I get 28. Not 14 like we should. Like me check our math...

OpenStudy (shelbywyatt):

well 3.5*2-=4?

OpenStudy (shelbywyatt):

14=w*(w2-3)?

OpenStudy (asett):

We want 14 to equal L times W. 14=w*(2w-3) btw :)

OpenStudy (shelbywyatt):

oh yeah

OpenStudy (barrelracing):

so l isnt 4? is w 3.5?

OpenStudy (asett):

Oh my word. Thank you. Yes. w=3.5 and l=4. That solves the problem!! :D

OpenStudy (shelbywyatt):

xD

OpenStudy (barrelracing):

thanks for your help

OpenStudy (asett):

Ha! No problem. Sorry about that goof-up. :)

OpenStudy (barrelracing):

no its ok it happens xD

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