# The width of a rectangle is 3 less than twice the length x. If the area of the rectangle is 43 square feet, what equation can be used to find the length, in feet?

Oct 20, 2016

Use the quadratic formula

#### Explanation:

$w = 2 x - 3 \text{ " and " } l = x$

$\text{Length x Width = Area}$.

$x \times \left(2 x - 3\right) = 43$

Using the distributive property to multiply across the parenthesis gives

$2 {x}^{2} - 3 x = 43 \text{ }$ Subtracting 43 from both sides gives.

$2 {x}^{2} - 3 x - 43 = 0$

This trinomial can not be easily factored so it is necessary to use the quadratic formula.