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. See the accompany

Question 328469: 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
Found 2 solutions by solver91311, nyc_function:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The area of a rectangle is given by

So if you know the area and the width, you can calculate the length by

In this case:

Simplify and you have your answer.

John

Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
The formula for finding the area of a rectangle is A = L*W.
Let A = x^2 + 50x
Let L = length
Let x = width
x^2 + 50x = Lx
(x^2 + 50x)/x = L
x + 50 = L
The binomial expression that represents the length is x + 50.
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