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116. Mowing a Field A square field in a certain state park is mowed around the edges every week. The rest of the field is kept unmowed to serve as a habitat for birds and small ani- mals (see the figure). The field measures b feet by b feet, and the mowed strip is x feet wide. (a) Explain why the area of the mowed portion is b² – (b – 2x)?. (b) Factor the expression in part (a) to show that the area of the mowed portion is also 4x(b - x).

116. Mowing a Field A square field in a certain state park is mowed around the edges every week. The rest of the field is kept unmowed to serve as a habitat for birds and small ani- mals (see the figure). The field measures b feet by b feet, and the mowed strip is x feet wide. (a) Explain why the area of the mowed portion is b² – (b – 2x)?. (b) Factor the expression in part (a) to show that the area of the mowed portion is also 4x(b - x).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.6: Optimization
Problem 8E: Enclosing a field You have 16 miles of fence that you will use to enclose a rectangle field. a.Draw...
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116. Mowing a Field A square field in a certain state park is mowed around the edges every week. The rest of the field is kept unmowed to serve as a habitat for birds and small ani- mals (see the figure). The field measures b feet by b feet, and the mowed strip is x feet wide. (a) Explain why the area of the mowed portion is b² – (b – 2x)?. (b) Factor the expression in part (a) to show that the area of the mowed portion is also 4x(b - x).
Transcribed Image Text:116. Mowing a Field A square field in a certain state park is mowed around the edges every week. The rest of the field is kept unmowed to serve as a habitat for birds and small ani- mals (see the figure). The field measures b feet by b feet, and the mowed strip is x feet wide. (a) Explain why the area of the mowed portion is b² – (b – 2x)?. (b) Factor the expression in part (a) to show that the area of the mowed portion is also 4x(b - x).
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