The variable area of a constant perimeter rectangle

The maxim area of a rectangle having variable dimensions but a constant perimeter is attained when the rectangle has a square shape. We can prove this thing with the help of the arithmetic and geometric mean inequality, but also as an application of the quadratic function modeling this area.

 

Beatrice Tiron

 
Material Type
Activity
Tags
rectangle  area-perimeter  quadratic-function 
Target Group (Age)
15 – 18
Language
English (United Kingdom)
 
 
GeoGebra version
4.2
Views
2304
Report a problem
 
 
© 2018 International GeoGebra Institute