The area of a square rug can be represented by the expression 100x^2+60x+9. Write an expression to represent the length of each side of the rug.

A^2+2ab+b^2 = (a+b) ^2

If 100x^2 is a^2 and 60x is 2ab and 9 is b^2,

Then a is 10x and b is 3, and (a+b) ^2 is (10x+3) ^2 so the area of a square rug is one side squared so one side can be written as 10x+3