Rectangles with an area of ​​1 m²: Minimum and maximum perimeter wanted – who can help?

Here is the task:

Consider all rectangles with an area of ​​1 m2.

a) Determine at which side length the perimeter is minimal.

b) Investigate whether there is a rectangle with maximum perimeter

Please give a detailed answer, as I unfortunately don't understand it yet.

With the help of the calculation method it should then be understandable.

Thanks for your help:)

(2 votes)
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Willy1729
3 months ago

Hello,

maximum is infinite by leaving two sides against zero and two against infinite.

The square has the smallest circumference in relation to the area content of a rectangle.

Best regards,

Willy

teehouse
3 months ago

Is a classic extreme value task. You have two sides, a and b. You have a connection between both sides. You set up a function and calculate high point and low point.