A farmer has 44 metres of fencing to build three sides of a rectangular animal pen with the wall of the farm shed forming the other side. The width of the pen is x metres.   a) Write the equation for the area of the pen   b) Determine the x and y intercepts, turning point   c)   i. Determine the maximum area that can be formed    ii. If the width of the barn is determined to be 11 m, what are the dimensions of the fenced area?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A farmer has 44 metres of fencing to build three sides of a rectangular animal pen with the wall of the farm shed forming the other side. The width of the pen is x metres.

 

a) Write the equation for the area of the pen

 

b) Determine the x and y intercepts, turning point

 

c)

 

i. Determine the maximum area that can be formed 

 

ii. If the width of the barn is determined to be 11 m, what are the dimensions of the fenced area?

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