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?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 34E
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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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