The floor of a shed given on the right has an area of 44 square feet . The floor is in the shape of a rectangle whose length is 3 less than twice the width. Find the length and width of the floor of the shed.

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Step-by-step explanation:

Given that the shape of the shed is a rectangle, the expression for the area is:

Where and are the width and length of the shed, measured in feet. In addition, the statement shows that . Then, the equation of area is expanded by replacing length:

If , then, a second-order polynomial is formed:

The roots of this equation are found via General Equation for Second-Order Polynomials:

and

Only the first roots is a physically reasonable solution. Then, the length of the shed is:

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.