Question

The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.

Answer 1

Answer:

Width of the rectangle is (x-5)

Step-by-step explanation:

We know that, the product of length and width gives the area of the rectangle.

The area of a rectangle is given as,

$\Rightarrow \text{Area of rectangle}=\text{Length}\times \text{Width}$

$\Rightarrow \text{Width}=\dfrac{\text{Area of rectangle}}{\text{Length}}$

Factoring the area,

$=x^2-2x-15$

$=x^2-5x+3x-15$

$=x(x-5)+3(x-5)$

$=(x+3)(x-5)$

Putting it in the equation,

$\Rightarrow \text{Width}=\dfrac{(x+3)(x-5)}{(x+3)}=(x-5)$

Answer 2

Area of the rectangle= L* w
$x^{2} -2x-15$
On expanding;
$x^{2} -5x+3x-15$
=x(x-5)+3(x-5)
=(x+3)(x-5)
The width is (x-5)