Assuming the pen is rectangular,
let the width be x
You know the 2 widths + 2 lengths = 100
width + length = 50
x + length = 50
length = 50-x
A farmer wants to build a new pen for his chickens. He wants the chickens to have as much freedom and room as possible. The fencing panels come in 1-meter panels. The farmer can vary the lengths of the sides of the pen, which will affect the area. Planning restrictions say that the pen must be rectangular the length of all four sides must add up to 100m.
If x represents the width of the rectangle write down in terms of x an algebraic expression for the length.
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