S scubasteve94 Feb 2009 59 0 May 10, 2010 #1 Find the maximum area of a rectangular piece of ground that can be enclosed by 100 m of fencing any help would be great!

Find the maximum area of a rectangular piece of ground that can be enclosed by 100 m of fencing any help would be great!

mr fantastic MHF Hall of Fame Dec 2007 16,948 6,768 Zeitgeist May 10, 2010 #2 scubasteve94 said: Find the maximum area of a rectangular piece of ground that can be enclosed by 100 m of fencing any help would be great! Click to expand... A = xy. 100 = 2x + 2y => y = 50 - x. Therefore A = x(50 - x). This is a parabola. Find the A-coordinate of its maximum turning point.

scubasteve94 said: Find the maximum area of a rectangular piece of ground that can be enclosed by 100 m of fencing any help would be great! Click to expand... A = xy. 100 = 2x + 2y => y = 50 - x. Therefore A = x(50 - x). This is a parabola. Find the A-coordinate of its maximum turning point.

BobBali May 2010 78 6 Tanzania May 10, 2010 #3 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 \(\displaystyle y = -2x+50 \)

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 \(\displaystyle y = -2x+50 \)