SOLUTION: what is the length of one side of a square that has an area of 289 in^2?

Algebra ->  Real-numbers -> SOLUTION: what is the length of one side of a square that has an area of 289 in^2?      Log On


   

Question 148545: what is the length of one side of a square that has an area of 289 in^2?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
what is the length of one side of a square that has an area of 289 in2?

Count the little squares, pretending they are each 1 in2 each.

You'll find there are 289 of them

drawing%28300%2C300%2C1%2C19%2C1.2%2C19.2%2C+grid%281%29+%29

Count the length of each side.  You'll find there are 17 on a side.

How do we find it without drawing and counting?

Use the formula:

A=s%5E2

Substitute 289 for A

289=s%5E2

Take the square root of both sides:

sqrt%28289%29=sqrt%28s%5E2%29

Get your calculator and take the square root of 289.

You'll get 17.  So

17=s

So each side of that square is 17 inches long. 

Edwin