chris215
  • chris215
-
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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welshfella
  • welshfella
i've been called away
CMorris2004
  • CMorris2004
Ill work it out, at least ill try.
tkhunny
  • tkhunny
Picture, picture , picture. Draw a picture!

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Miracrown
  • Miracrown
Let's start with a figure. So basically we only need to fence 3 sides
Miracrown
  • Miracrown
|dw:1449451180834:dw|
Miracrown
  • Miracrown
so since x is the shortest side, we need to find an expression for this side in terms of x. Any ideas? @chris215
chris215
  • chris215
f(x) = x2 - 1800
tkhunny
  • tkhunny
Why multiply 'x' in a perimeter calculation. x + ? + x = ???
Miracrown
  • Miracrown
\[x + x + y = 1800 \] Solve for y
chris215
  • chris215
ohh so 2x^2 - 1800
Miracrown
  • Miracrown
we need to move the 2x to the other side not the y
Miracrown
  • Miracrown
x + x + y = 1800 2x + y = 1800 Now we need to isolate the y, can you do that please?
chris215
  • chris215
opps f(x) = -2x2 + 1800x?
Miracrown
  • Miracrown
Yep so, A = xy f(x) = x (1800 - 2x ) f (x) = -2x^2 + 1800 x <--- so this is our function, and then we need to maximize it, any ideas how?
anonymous
  • anonymous
do it with \(P\) instead of \(1800\) so you never have to do it again
Miracrown
  • Miracrown
ok :)
Miracrown
  • Miracrown
Actually, we didn't have to maximize it or anything, ''Write the function that will produce the largest area if x is the short side of the rectangle.'' They just wanted us to write the function so then the answer should be f(x)=-2x^2+1800x
chris215
  • chris215
ok thank you!!

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