SOLUTION: A rectangle has an area of 240 in(squared), and one side has length x. Express the perimeter of the rectangle as a function of x.

Algebra ->  Rectangles -> SOLUTION: A rectangle has an area of 240 in(squared), and one side has length x. Express the perimeter of the rectangle as a function of x.      Log On


   



Question 211690: A rectangle has an area of 240 in(squared), and one side has length x. Express the perimeter of the rectangle as a function of x.
Found 2 solutions by HyperBrain, ikleyn:
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Given the sides of the rectangle x and y, the area A=xy.
---
Given A=240
So,
xy=120
y=120/x
---
Then, the perimeter is given by P=2x+2y
---
So,
P=2x%2B2%28120%2Fx%29
P=2x%2B240%2Fx
That's it.

Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.
A rectangle has an area of 240 in(squared), and one side has length x.
Express the perimeter of the rectangle as a function of x.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


        Calculations in the post by @HyperBrain are Hyper-incorrect.
        I came to bring a correct solution.


Given the sides of the rectangle x and y, the area A=xy.

Given A=240

So,
xy = 240
y = 240/x

Then, the perimeter is given by P=2x+2y

So,

P = 2x + 2%28240%2Fx%29

P = 2x + 480%2Fx.         ANSWER

Solved correctly.