SOLUTION: Geometry. The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.

Question 77419: Geometry. The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.
.
The area of a rectangle (A) is given by the equation L * W where L represents the length and
W represents the width. In equation form this is:
.

.
The problem tells you that the area is so you can put this into the equation
in place of A to get:
.

.
and the problem also tells you that the length of the rectangle is x. So you can put x
into the equation in place of L. The result is:
.

.
You can now solve for W by dividing both sides of the equation by the multiplier of W which
is x. Dividing both sides by x results in:
.

.
On the left side, the x in the denominator must be divided into each of the two terms in
the numerator. When you divide the x into you can do so by recognizing
that . So you are really dividing and the effect is that
the x in the denominator cancels with one of the x terms in the numerator. So the problem
can be written as:
.

.
and canceling like x terms in the numerators and denominator results in:
.

.
and the answer becomes:
.

.
and that's the answer ...
.
Hope this helps you to understand the problem and the steps you can take to solve it.
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