SOLUTION: 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.

Question 78608This question is from textbook Elementary and Intermediate Algebra
: 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. This question is from textbook Elementary and Intermediate Algebra

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The formula for the area of a rectangle is A = L*W in which A represents the Area, L is the
Length and W is the width.
.
The problem states that the Area is given by and the Width is .
.
Substitute these two values into the area formula and you get:
.

.
To solve for L, divide both sides of this equation by x, the multiplier of L and you get:
.

.
Divide the x of the denominator into each of the two terms in the parentheses and the
result is:
.

.
recall that so dividing x^2 by x is the same as and the x
in the denominator cancels with one of the x's in the numerator. So the result is of
this division is just x. Similarly, when you divide by the x in the
denominator cancels the x in the numerator. Therefore, this division just results in
50. So when these divisions are performed the equation simplifies to:
.

.
and this is the binomial you were asked to find:
.

.
and when you solve for L, don't forget that the answer is in centimeters.
.
Hope this helps you to understand the problem a little better.

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