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.
To find a binomial that represents the length of the painting, we need to determine the relationship between the dimensions of the rectangle and its area.
First, we are given that the width of the rectangular painting is x centimeters. Since area is calculated by multiplying the length and width, we can represent the area as the product of the width and length: (length) = (area) / (width).
In this case, the area of the painting is given as x^2 + 50x square centimeters. Thus, the length of the painting can be calculated as follows:
(length) = (x^2 + 50x) / (x)
Now, let's simplify the expression:
(length) = x(x + 50) / x
Canceling out the common factor of x:
(length) = (x + 50)
Therefore, the binomial that represents the length of the rectangular painting is x + 50.
Width = x cm.
A = x^2 + 50x.
x * L = X^2 + 50X
Divide both sides by x:
L = (x^2 + 50x) / x = x + 50 = Length.