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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Originally Posted by scubasteve94 Find the maximum area of a rectangular piece of ground that can be enclosed by 100 m of fencing any help would be great! 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.
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 $
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