Find the maximum area of a rectangular piece of ground that can be enclosed by 100 m of fencing

any help would be great!

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- May 10th 2010, 03:31 AMscubasteve94Maximum area of rectangle with given perimeter.
Find the maximum area of a rectangular piece of ground that can be enclosed by 100 m of fencing

any help would be great! - May 10th 2010, 03:38 AMmr fantastic
- May 10th 2010, 04:47 AMBobBali
Area = $\displaystyle -X^2 + 50x$

Solve for vertex using line of symmetry equation $\displaystyle x = - b/2a$

$\displaystyle x = -50/-2 , x = 25 $

Hence, find y by substituting back into $\displaystyle y = -2x+50 $