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A rectangular plot of land has dimensions $x$ meters by $y$ meters. The plot of land is 216 square meters in area. Farmer Ted encloses the rectangle with a fence and then divides the rectangle into two equal parts with another fence of length $x$ meters parallel to one of the sides. In terms of $x$ and $y,$ what is the total length of fence used? Describe the length of the fence used in terms of only one variable.

 Mar 3, 2021
 #1
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Total fence required     =     x + x     +       y + y         + x   =    3x+2y

x * y = 216     so  216/x = y     sub this into the red equation

 

3x + 2 (216)/x   = 3x + 432/x

 Mar 3, 2021

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