1. ## Square

A wire of length x is bent into the shape of a square.

(a) Express the perimeter of the square as a function of x.

(b) Express the area of the square as a function of x.

2. Originally Posted by symmetry
A wire of length x is bent into the shape of a square.

(a) Express the perimeter of the square as a function of x.

Each side is of equal length and there are 4 sides thus, $\frac{x}{4}$.
(b) Express the area of the square as a function of x.
From (a) we have,
$A=\frac{x}{4} \cdot \frac{x}{4}=\frac{x^2}{16}$.
Because area is side squared.

3. ## ok

Since all sides of the square are the same length, we have a square with x sides.

The perimeter of a square is P = 4x, right?

How did you get (x/4) = P?

4. Sorry, your Web browser is not Java compatible. This prototype will not be of much interest to you.
Originally Posted by symmetry
A wire of length x is bent into the shape of a square.

(a) Express the perimeter of the square as a function of x.

(b) Express the area of the square as a function of x.

I'm a bit late. But here's a diagram

You can clearly see the perimeter is "x"

But You have to press the buttons to see anything (or you could move the red points too)

5. ## ok

What diagram? No picture came out with your reply.

6. Originally Posted by symmetry
What diagram? No picture came out with your reply.
hmmm, it seems you don't see the java program. Did you at least see
Sorry, your Web browser is not Java compatible. This prototype will not be of much interest to you.

7. ## ok

Why don't you ask earboth what he uses to paste diagrams with his answers. I would like to know how to do that myself.

Getting back to the question, why is P = (x/4)?

8. Originally Posted by symmetry
Why don't you ask earboth what he uses to paste diagrams with his answers. I would like to know how to do that myself.

Getting back to the question, why is P = (x/4)?
You misunderstood what TPH was trying to do. The length of the wire is x. Thus the perimeter of the square is P = x. So one side of the square has a length of x/4. This is what TPH was saying.

-Dan

9. Originally Posted by symmetry
Why don't you ask earboth what he uses to paste diagrams with his answers. I would like to know how to do that myself.
When posting, go to the "manage attachments" button. Click, upload your attachments, and then it shows your attachment (which is usually a picture).

The reason I used the java diagram is because it is more visual.

10. ## ok

Thanks for the TIP QUICK.

To the rest, I thank you all for your replies and wonderful math notes.