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

3 answers

To find the length of each side of the square rug, we need to find the square root of the area expression.

The area of a square is given by the formula A = side^2, where side is the length of each side.

So, taking the square root of the given area expression 100x^2+60x+9, we get:

√(100x^2+60x+9)

Therefore, the expression to represent the length of each side of the rug is:

√(100x^2+60x+9)
that is wrong
I apologize for the incorrect response. Let's correct that.

Given the area expression is 100x^2 + 60x + 9, and we know that the area of a square is side^2.

Let's assume the length of each side of the square rug is represented by 'y' (length=width since it is a square).

Therefore, we have:

y^2 = 100x^2 + 60x + 9

Taking the square root of both sides to find the length of each side 'y', we get:

y = sqrt(100x^2 + 60x + 9)

So, the expression to represent the length of each side of the square rug is sqrt(100x^2 + 60x + 9).