answersLogoWhite

0

The unit of area "one square meter" or "one square foot" is DEFINED as the area of a square with sides of length 1 meter or 1 foot. This works for any unit of distance measurement. So we start with this definition. It follows that a square with sides of length n when n is an integer has area n2 square units because it can be divided into n*n= n2 small squares one unit on a side. For the area of a square with sides of fractional length, we can use a proof that calls upon similar polygons. This proves the area exists, it does NOT prove it is unique. To prove that, assume it is not uniqe and arrive at a contradiction.

User Avatar

Wiki User

16y ago

Still curious? Ask our experts.

Chat with our AI personalities

BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi

Add your answer:

Earn +20 pts
Q: Proof to find the area of a square?
Write your answer...
Submit
Still have questions?
magnify glass
imp