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anonymous
 one year ago
Find the dimensions of the rectangle of maximum area that can be formed from a
40in.
piece of wire
anonymous
 one year ago
Find the dimensions of the rectangle of maximum area that can be formed from a 40in. piece of wire

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i already tried that it is incorrect

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436312621888:dw the perimeter is 40 inches\[l+l+w+w = 40 \implies 2l+2w = 40\] now we can solve for either width or length, so solving for length gives us \[l = \frac{ 402w }{ 2 }\]using this information we can find the area of a rectangle since we know area of a rectangle is just \[A = length \times width \]\[A = l \times w\] so plugging our length into the area formula we have \[A = (20w)w = 20ww^2\] I simplified the length by dividing by 2 from the initial length formula I made. So now to find the maximum area, we need to take the derivative, I leave the rest to you.
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