question:

find the length and width of a rectangle that has the given perimter and a maximum area

data given:

perimeter = 80meters

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any help?

2l+2w=80 <--- put in terms of either variable???

i got [80-2w/2] = Length

and i plugged this into the equation for the area of a rectangle...

Area = L*W

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area = [80-2w/2] * W

then i differentiate area = [80-2w/2] * W and find the critical numbers and get the maximum.....am i doing this correct lol?