use lagrange multipliers to prove that the rectangle with maximum area that has a given perimete

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Linda Hand · Answer

Okay, so another way to ask this question is find the dimensions of the rectangle of maximum are

Linda Hand · Answer

Okay, we&#x27;re going to maximize the area of a rectangle, given the constraint that the perimeter i

Linda Hand · Answer

Okay, so another way to ask this question is find the dimensions of the rectangle of maximum are

Ryan Swift · Answer

Okay, so for this example, we need to show that a rectangle with maximum area is a square, and w

William Semus · Answer

So in this question we&#x27;re going to consider all rectangles with fixed perimeter p, and we are go

Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter $p$ is a square.