The rectangle shown has an area of 27 cm2 and is modeled by the equation a = 2w2 + 3w, where w is the width. what is the length of the rectangle?

The length of the rectangle is

Step-by-step explanation:

we know that

The area of rectangle is equal to

In this problem we have

so

------> equation A

and

so

The formula to solve a quadratic equation of the form is equal to

in this problem we have

so

substitute in the formula

The solution of the quadratic equation is

Find the value of L