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
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).