A homeowner has 80 feet of fence tp enclose arectangke garden.What dimensions fo

Question

A homeowner has 80 feet of fence tp enclose arectangke garden.What dimensions for the garden give a maximumarea??
I received one answer ,but they did not include theANSWERS,just the formula,SO PLEASE provide the answer(s) also,pleasso I understand,as I have three more of this to do. THANKYOU!!! A homeowner has 80 feet of fence tp enclose arectangke garden.What dimensions for the garden give a maximumarea??
I received one answer ,but they did not include theANSWERS,just the formula,SO PLEASE provide the answer(s) also,pleasso I understand,as I have three more of this to do. THANKYOU!!!

Explanation / Answer

Let the length and width be l and w respectively Perimeter, P = 2(l+w) = 80 feet Area, A = l * w from P, w = 40 - l A = l(40 -l)    = 40l - l2 A' = 40 - 2l A" = -2 for max area, A' =0 and A'' -ve (A" = -2 so this condition issatisfied for all l) A'= 0 40 - 2l = 0 l = 20, w = 20 Dimensions = 20 by 20 feet [Square garden]

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