Question

The area of a rectangle is 20 square feet. Let y be the width and x be the length. Write a function for the perimeter of the rectangle as a function of x.

Answer 1

Perimeter of the rectangle as a function of x is $x+\frac{20}{x}$

Step-by-step explanation:

Let y be the width and x be the length.

We have equation for area

              Area =Length x Width

                 20 = Length x Width

                 $20=xy\\\\y=\frac{20}{x}$

Now we need to find perimeter of the rectangle as a function of x.

         Perimeter = 2 ( Length + Width)

         Perimeter = 2 ( x + y)        

          $\texttt{Perimeter = }x+\frac{20}{x}$

So  Perimeter of the rectangle as a function of x is $x+\frac{20}{x}$