Alex_Mattucci
  • Alex_Mattucci
Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? One side of the sign is 4x+3. a. 16x2 + 12x + 9 b. 16x2 + 24x + 9 c. 8x2 + 9 d. 8x2 + 6
Algebra
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
what do you know about the sides of a square?
Alex_Mattucci
  • Alex_Mattucci
what do u mean?
anonymous
  • anonymous
just what i asked... you know what a sqaure is, right? what can you tell me about its sides?

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Alex_Mattucci
  • Alex_Mattucci
it has four sides, each are equal in length
anonymous
  • anonymous
excellent! and what about the area of a square?
Alex_Mattucci
  • Alex_Mattucci
length times width
Alex_Mattucci
  • Alex_Mattucci
ohhhhh
anonymous
  • anonymous
but for a square, length and width are...?
Alex_Mattucci
  • Alex_Mattucci
they are the same
anonymous
  • anonymous
man, you are on it!!!
Alex_Mattucci
  • Alex_Mattucci
so it would be (4x+3)(4x+3)
anonymous
  • anonymous
excellent!!! and what do you get when you multiply that out?
Alex_Mattucci
  • Alex_Mattucci
c. 8x2 + 9
anonymous
  • anonymous
nope
anonymous
  • anonymous
do you know the distributive property?
Alex_Mattucci
  • Alex_Mattucci
sorry, i coppied and pasted the wrong one from above lol...
anonymous
  • anonymous
a(b+c) = ab + ac
Alex_Mattucci
  • Alex_Mattucci
The right one is b. 16x2 + 24x + 9
anonymous
  • anonymous
however, if a is a binomial (two terms) also, it goes like this... suppose a = f+g then we get ab + ac = (f+g)b + (f+g) c and using distribution again we get... fb + gb + fc + gc
anonymous
  • anonymous
there you go... you know how to multiply those out, right? you're not just guessing...
Alex_Mattucci
  • Alex_Mattucci
yeah i do
anonymous
  • anonymous
awesome! hey, just a hint... whenever you can draw a picture to represent what is going on in a problem, do so. make it sufficicently large and put all available info on it. we humans are visual creatures!
Alex_Mattucci
  • Alex_Mattucci
alright
Alex_Mattucci
  • Alex_Mattucci
ty so much
anonymous
  • anonymous
good luck and have a great day!

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