# Math Help - Maximum area and minimum perimeter.

1. ## Maximum area and minimum perimeter.

Here's another problem I'm stuck on:

"A rectangle has one side on the x-axis, one side on the y-axis, one vertex at the origin and one on the curve y=e^-2x (greater than or equal to) 0. Find the

a) Maximum area
b) Minimum perimeter."

Here's a picture of the curve:

Any help on how to do this would be appreciated!

2. Originally Posted by Rumor
Here's another problem I'm stuck on:

"A rectangle has one side on the x-axis, one side on the y-axis, one vertex at the origin and one on the curve y=e^-2x (greater than or equal to) 0. Find the

a) Maximum area
b) Minimum perimeter."

Here's a picture of the curve:

Any help on how to do this would be appreciated!
$A(x) = xe^{-2x}$

$P(x) = 2(x + e^{-2x})
$

take the derivatives and optimize ...