SOLUTION: "Area of a painting. A rectangular painting with a width of x centimeters has an area of x2 + 50x square centimeters.Find a binomial that represents the length. See the accompanyin

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: "Area of a painting. A rectangular painting with a width of x centimeters has an area of x2 + 50x square centimeters.Find a binomial that represents the length. See the accompanyin      Log On


   

Question 178309: "Area of a painting. A rectangular painting with a width of x centimeters has an area of x2 + 50x square centimeters.Find a binomial that represents the length. See the accompanying figure."
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A=LW Start with the area of a rectangle formula


x%5E2%2B50x=Lx Plug in A=x%5E2%2B50x and W=x


x%28x%2B50%29=Lx Factor out the GCF "x"


%28cross%28x%29%28x%2B50%29%29%2Fcross%28x%29=%28L%2Across%28x%29%29%2Fcross%28x%29 Divide both sides by "x" to isolate "L". Notice how the "x" terms cancel.


x%2B50=L Simplify


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Answer:


So the length is L=x%2B50