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# No question

## Rectangle with maximum area is a square with side length 25 $\mathrm{m}$

Derivatives

Differentiation

Volume

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##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

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### Video Transcript

We know that if X is, our length and wise are within the perimeter is gonna be two times X plus y. We can set this equal to 100. Divide both sides by two. We get 50 equals X plus y Writing this in terms of why wise 50 minus axe area is X y, which gives us 50 acts minus X squared. Remember wise 50 minutes acts The derivative of area is 15 minus two acts said this equal to zero. We end up with 25 equals acts and then remember 50 minus 25 is why there for 25 is why so maximum areas a square with side length of 25 meters.

#### Topics

Derivatives

Differentiation

Volume

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp