1.)An ostrich farmer wants to enclose a rectangular area and then divide it into

Question

1.)An ostrich farmer wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 810 feet of fencing available to complete the job. What is the largest possible total area of the three pens? Largest area =

2.) A ball is thrown up on the surface of a moon. Its height above the lunar surface (in feet) after tt seconds is given by the formula

h=328t?(8/6)t^2

Find the time that the ball reaches its maximum height.

Find the maximal height attained by the ball

Explanation / Answer

Let the 4 parallel sides are x and the other two sides be y each

4x+2y=810

2x+y=405

y = 405-2x

Area = x y = x(405-2x)

A (x) = 405 x -2x2

A ' = 405 -4x

A'=0

405-4x=0

x = 101.25ft

y =405-2x = 202.5 ft

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