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

 
Type de ressources
Activité
Balises
area  area-perimeter  perimeter  quadratic-function  rectangle 
Tranche d'âges
15 – 18
Langue
English (United Kingdom)
 
 
Version GeoGebra
4.2
Vues
3482
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