Area of a painting. A rectangular painting with a width of

x centimeters has an area of x^2+50x square centimeters.
Find a binomial that represents the length. See the accompanying
figure.

length*width= area

length= area/width= (x^2+50x)/x= x+50

Thanks so much

To find the length of the rectangular painting, we need to use the formula for the area of a rectangle: area = length × width.

Given that the width is x centimeters and the area is x^2 + 50x square centimeters, we can set up the equation:

x^2 + 50x = length × x

Since the width is given as x and doesn't change, we can divide both sides of the equation by x:

x + 50 = length

Hence, the binomial that represents the length is x + 50.