Rectangle of constant area

The area of a rectangle is the result of product of its sides.
The division of the area of a rectangle by one of its sides is the length of the other side.
Every rectangle of constant area is limited by its hyperbola:
The hyperbola y=A/x
y: vertical axis
x: horizontal axis
A: area of the rectangle.

This hyperbola is shown in the app as a shadow.
The area of the rectangle is written inside the rectangle

Spinners show the division of the area by the widht of the rectangle. The result is the height of the rectangle.

This program uses the Farey sequence of fractions n=99
From 1/99 to 99/1
Each fraction is a gray vertical thin line in the graphic
There are 6000 fractions to use in this app.

When the app starts takes a while to load and sort all the fractions of the Farey sequence 99 (0 not included), but the app can be used without any inconvenient.

The rectangle is interactive and grow and shrink horizontally.
For a more detailed interaction there are two gliding scrollers: one for width and other for height.

The only way to change the area of the rectangle is the first drop down spinner.

Help for understanding the division of fractions, and
For the fruitless search for the square root of 2 in rational numbers.
Read more

What's New

Version 6: fixed the remaining thread after closing. Stable Version.
Read more

Additional Information

September 24, 2020
Current Version
Requires Android
4.1 and up
Content Rating
Offered By
Maurici Carbó C/ Sant Antoni Maria Claret, 324 Barcelona 08041 SPAIN
©2021 GoogleSite Terms of ServicePrivacyDevelopersAbout Google|Location: United StatesLanguage: English (United States)
By purchasing this item, you are transacting with Google Payments and agreeing to the Google Payments Terms of Service and Privacy Notice.