Question

Write an expression for the length of the rectangle. (Hint: Factor the area binomial and recall that area = width x length.)

Answer 1

Answer:

Given that,

Area of the rectangle is,

$3x^5-27x\text{ square units}$

Width of the rectangle is 3x units.

To find: the length of the rectangle.

Explanation:

we know that,

Area of the rectangle is,

$length\times width$

Substitute the values we get,

$3x^5-27x=length\times3x$

Solving this we get,

$length=\frac{3x^5-27x}{3x}$$length=\frac{3x(x^4-9)}{3x}$$length=x^4-9$

The length of the rectangle is,

$length=x^4-9$