Optimization Problem #7 - Minimizing the Area of Two Squares With Total Perimeter of Fixed Length

Optimization Problem #7 - Minimizing the Area of Two Squares With Total Perimeter of Fixed Length. In this video, we take a piece of wire, cut it into two piece (not necessarily equal!) and form those pieces into two squares. What is the minimum area enclosed by the the two squares?

Category:

Education

Tags:

• optimization
• wire
• minimize
• minimum
• area
• square
• calculus
• optimize

[Twinsfan36]

I love your videos!

[patrickJMT]

@Twinsfan36 thanks! : )

[gameboy281]

How would a person maximize this problem?

[TealRisa]

Thanks so much for all of the work you put into these videos! ^_^ One random question for you though...how many Sharpies do you think you've gone through making all of these? XD

[vladj7]

Hello, your videos are really helpful, but I am wondering if you can make a video in which you inscribe a shape into another shape trying to find the max area. For example, find the dimensions of the rectangle of largest area that can be inscribed in an equilateral triangle of side L if one side of the rectangle lies on the base of the triangle?

[77PROMETHUS77]

CLASSIC!!

[Zhaggysfaction]

@judomudo

In this problem it's either x=0 or x=5, both which give just one square. You can see this because the x^2+(5-x)^2 is a parabel that opens upwards.

[patrickJMT]

@theprocrastinator100 yep! turns out it would be

[proteinP53]

cool videos :)