# Calculus

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A rancher wants to build a rectangular pen with an area of 150 m2. Let W be the width of the pen and L be the length of the pen.

a. Find an equation for the perimeter P in terms of W and L .

b. Use the given area to write an equation that relates W and L .

c. Find the pen dimensions that require the minimum amount of fencing.
Width =
Length =

• Calculus -

P = 2L + 2W

150 = LW

150/L = W

P = 2L + 300/L

Can you finish from here?

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