Question

The length, l, of a rectangle is modeled by the equation l = w + 4, where w is the width of the rectangle in centimeters. Two equations have been determined that represent the area of the rectangle, A, in square centimeters: The first equation was created using the formula for the area of a rectangle: A = w2 + 4w. The second equation models the relationship between the rectangle's area and width: A = 4w + 45.

Answer 1

Answer:

$l=\sqrt{45}+4$

Step-by-step explanation:

Here we have :

$w^{2}+4w=4w+45$

We need to solve this equation, subtract 4w for each side so we have :

$w^{2} =45\\w= \sqrt{45} \\and \\w=-\sqrt{45}$

We cannot have negative side so, second w is not solution.

Now, we can find length

$l=\sqrt{45}+4$