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**holly123** a triangular field is to be enclosed by p feet of fencing so as to maximize the area of the field. find the lengths of sides of this triangle. [Hint: Heron's formula for the area of a triangle with side lengths x, y, and z is A= square root of (s(s-x)(s-y)(s-z)), where s= 1/2 (x+y+z) is the semiperimeter.]

so, there's a function with two constraints.

i took the gradient of each.

i set gradient p = lambda gradientA + mu gradientS

this is extremely complicated though and i don't know how to solve it.

the back of the book says x=y=z=p/3

any suggestions? thank you so much