# perimeter and area

• Apr 8th 2008, 05:45 PM
motsee
perimeter and area
If the perimeter of a closed figure increases does the area also increase? Why/why not?
• Apr 8th 2008, 05:50 PM
Mathstud28
Yes
Quote:

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\$
• Apr 8th 2008, 05:51 PM
bobak
• Apr 8th 2008, 05:56 PM
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.
• Apr 8th 2008, 06:02 PM
Mathstud28
Haha
Quote:

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