# ALGEBRA

A farmer has 165 feet of fencing material in which to enclose a rectangle area. He wants the length x to be greater than 50 feet and width y to be no more than 20 feet. write a system to represent this situation.

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1. Let x=length, y=width.
"A farmer has 165 feet of fencing material in which to enclose a rectangle area." means
2(x+y)≤165 ....(1)

"He wants the length x to be greater than 50 feet" means
x>50 ......(2)

"and width y to be no more than 20 feet." means
y&le=20....(3)

The system is the collection of inequalities (1) to (3).

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2. a farmer has 165ft of fencing material in which to enclose a rectangular grazing area. he wants the length x to be greater than 50 and the width y to be no more than 20ft. write a system to represent this situation?

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