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Mowing a Field A square field in a certain state park is mowed around the edges every -b- week. The rest of the field is kept unmowed to serve as a habitat for birds and small animals (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).

Mowing a Field A square field in a certain state park is mowed around the edges every -b- week. The rest of the field is kept unmowed to serve as a habitat for birds and small animals (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).

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Mowing a Field A square field in a certain state park is mowed around the edges every -b- week. The rest of the field is kept unmowed to serve as a habitat for birds and small animals (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:Mowing a Field A square field in a certain state park is mowed around the edges every -b- week. The rest of the field is kept unmowed to serve as a habitat for birds and small animals (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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