The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle. Show me the formula and how to use it please.
area= length times width
3x^2 + 5x = x * width
divide both sides by x, then you have width.
To find the width of the rectangle, we need to use the formula for the area of a rectangle, which is length times width. In this case, the area is given by the expression 3x^2 + 5x, and the length is represented by x.
So, we can set up the equation as:
3x^2 + 5x = x * width
To find the width, we need to solve for it. To do this, we can simplify the equation by dividing both sides by x:
(3x^2 + 5x) / x = (x * width) / x
Simplifying further:
3x + 5 = width
So, the formula for finding the width of the rectangle is width = 3x + 5. To find the actual width, substitute the value of x into the formula.
To find the width of the rectangle, we can use the formula for the area of a rectangle:
Area = length × width
Given that the area of the rectangle is 3x^2 + 5x, we can set up the equation as follows:
3x^2 + 5x = x × width
To solve for the width, we can divide both sides of the equation by x:
(3x^2 + 5x) / x = width
Simplifying the expression on the left side, we get:
3x + 5 = width
Therefore, the formula for the width of the rectangle is width = 3x + 5.