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.

Question

asked Jan 22, 2021 212k views

1 Answer

KSTN · Answer 1 · 2021-01-27T11:46:12+0000

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