a rectangular with a width of x centimeters has an area of centimeters. x^2 + 50x centimeters. Find the Binomial that resperents the length

To find the binomial that represents the length of the rectangle, we need to use the formula for the area of a rectangle, which is length multiplied by width. In this case, we have the area as x^2 + 50x.

Let's denote the length as L. We are given that the width is x centimeters. Therefore, the equation for the area can be written as:

L * x = x^2 + 50x

To find the expression for the length, we need to isolate L on one side of the equation. To do so, we divide both sides of the equation by x:

L = (x^2 + 50x)/x

Simplifying the right side of the equation:

L = x + 50

Thus, the binomial that represents the length of the rectangle is (x + 50).