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+(20)/(x)`

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=(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+(20)/(x)`

So Perimeter of the rectangle as a function of x is
`x+(20)/(x)`