5. Edging a Planter A woman wants to make a small planter and surround it with edging material. She is deciding between two designs. Design 1: A square planter Design 2: A circular planter Edging material costs $3 a foot for the straight variety, which she would use for Design 1, and $4 a foot for the flexible variety, which she would use for Design 2. (a) If she decides on a perimeter of 24 ft, which design would give her the larger planting area? (b) If she decides to spend $120 on edging material, which design would give her the larger planting area?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
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5. Edging a Planter A woman wants to make a small planter and surround it with edging
material. She is deciding between two designs.
Design 1: A square planter
Design 2: A circular planter
Edging material costs $3 a foot for the straight variety, which she would use for Design 1,
and $4 a foot for the flexible variety, which she would use for Design 2.
(a) If she decides on a perimeter of 24 ft, which design would give her the larger planting
area?
(b) If she decides to spend $120 on edging material, which design would give her the
larger planting area?
Transcribed Image Text:5. Edging a Planter A woman wants to make a small planter and surround it with edging material. She is deciding between two designs. Design 1: A square planter Design 2: A circular planter Edging material costs $3 a foot for the straight variety, which she would use for Design 1, and $4 a foot for the flexible variety, which she would use for Design 2. (a) If she decides on a perimeter of 24 ft, which design would give her the larger planting area? (b) If she decides to spend $120 on edging material, which design would give her the larger planting area?
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