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).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterA: Appendix

SectionA.1: Algebraic Expressions

Problem 7E

See similar textbooks

Similar questions

The algebra method of FOIL multiplication is illustrated geometrically in the drawing. Use the drawing with rectangular regions to complete the following rule: (a+b)(c+d)=

Recommended textbooks for you

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,