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

 
Resource Type
Activity
Tags
angle  area  area-perimeter  perimeter  quadratic-function  rectangle 
Target Group (Age)
15 – 18
Language
English (United Kingdom)
 
 
GeoGebra version
4.2
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2325
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