Question

The width of a rectangle is (x + 2). If its area is x4 + 2x3 + 6, find its length.

Answer 1

The length of rectangle is given as $length = \frac{x^4+2x^3+6}{x+2}$

Solution:

Given that,

Width of rectangle = x + 2

Area of rectangle = $x^4+2x^3+6$

Length of rectangle = ?

The area of rectangle is given as:

$\text{Area of rectangle } = length \times width$

Therefore, length is given as:

$length = \frac{\text{Area of rectangle}}{width}$

Substituting the given values we get,

$length = \frac{x^4+2x^3+6}{x+2}$

There are no common factors that could be cancelled. Also numerator cannot be factored further

Thus length of rectangle is given as $length = \frac{x^4+2x^3+6}{x+2}$