SOLUTION: 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.

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Question 124364: 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 Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the formula for the area of a rectangle:
A+=+L%2AW
The area, A, is given as:A+=+x%5E2%2B50x
The width is given as:W+=+x
Find L:
A+=+L%2AW
x%5E2%2B50x+=+L%2Ax Factor an x from the binomial on the left side then divide both sides by x.
x%28x%2B50%29+=+L%2Ax Divide by x.
x%2B50+=+L
The length is represented by the binomialx%2B50