Question

The rectangle below has an area of x^2+8x+15x

Answer 1

Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of $x^2+8x+15$ square meter and a width of  $x+3$ meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

$\text{Area}=\text{Length}\times \text{Breadth}$

$\text{Area}=x^2+8x+15$

$\text{Breadth}=x+3$

$x^2+8x+15=\text{Length}\times(x+3)$

$\text{Length}=\frac{x^2+8x+15}{x+3}$

$\text{Length}=\frac{(x+5)(x+3)}{x+3}$

$\text{Length}=x+5$

Therefore, the length of the rectangle is x+5.