Question 222956
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. 


Area equals length * width.


you have the area equal to x^2 + 50x


If you let x = width, and y = length, then you get:


area = x*y = x^2 + 50x


divide both sides of this equation by x to get:


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


your answer should be:


y = x+50


if that's true, then x * (x+50) = x*y = area of the painting.


x * (x+50) = x^2 + 50x so answer should be good.