SOLUTION: A rectangular garden is to be fenced using the wall of a house as one side of the garden.the garden should have an area of 40mē. Determine the minimum perimeter and dimensions

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Question 1079544: A rectangular garden is to be fenced using the wall of a house as one side of the
garden.the garden should have an area of 40mē. Determine the minimum perimeter and dimensions of the garden

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let the side parallelto the house =
Let each of the other 2 sides =
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Equation for area:
m2

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Let = the perimeter of the 3 walls

First I'll show a plot of

----------------------------
Assuming this is a calculus problem,
I'll find the derivative:

Find where the slope = 0





and



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The dimensions are 4.472 x 8.944
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The minimum perimeter is:


m
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check the math & possibly get another opinion

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