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

 
Tipo di risorsa
Attività
Tag
area  area-perimeter  perimeter  quadratic-function  rectangle 
Gruppo di riferimento (età)
15 – 18
Lingua
English (United Kingdom)
 
 
Versione di GeoGebra
4.2
Viste
3507
Contatta l'autore della risorsa
 
© 2026 International GeoGebra Institute