SOLUTION: Can someone please help me understand how to solve this problem. Thank you in advance. Area of a painting. A rectangular painting with a width of X centimeters has an area of

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone please help me understand how to solve this problem. Thank you in advance. Area of a painting. A rectangular painting with a width of X centimeters has an area of      Log On


   



Question 222956: Can someone please help me understand how to solve this problem. Thank you in advance.
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.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
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.