1. ## perimeter and area

If the perimeter of a closed figure increases does the area also increase? Why/why not?

2. ## Yes

Originally Posted by motsee
If the perimeter of a closed figure increases does the area also increase? Why/why not?
Yes it does ...example $\displaystyle P_{square}=4x,Area_{square}=x^2$...if you increased it a fixed amount $\displaystyle a$ then it is plain to see that the are increases $\displaystyle P_{square_{2}}=4(x+a),Area_{square_{2}}=(x+a)^2$

3. Yes it does. Take a square for example:

$\displaystyle A=x^2$

$\displaystyle P=4x$

When the perimeter increases, it is because x increases. What happens to A as x increases?

::EDIT:: Too fast for me LOL.

4. ## Haha

Originally Posted by topher0805
Yes it does. Take a square for example:

$\displaystyle A=x^2$

$\displaystyle P=4x$

When the perimeter increases, it is because x increases. What happens to A as x increases?

::EDIT:: Too fast for me LOL.
As my calc teacher would vehemently say "Not quick enough!!" haha