Mowing a Field Asquare field in a certainstate park is mowedaround the edges everyweek

Chapter 1, Problem 136

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Mowing a Field Asquare field in a certainstate park is mowedaround the edges everyweek. The rest of thefield is kept unmowedto serve as a habitat forbirds and small animals(see the figure). Thefield measures b feet byb feet, and the mowedstrip is x feet wide.(a) Explain why thearea of the mowed portion is b2 1b 2x22.(b) Factor the expression in part (a) to show that the area ofthe mowed portion is also 4x1b x2 .

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