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The Shatzkins are adding a sunroom to their house. They want the sunroom to have area 14.00 m². One wall of the sunroom will be part of their house. a) One design is for a rectangular sunroom. Determine the minimum possible perimeter of this room, not including the wall attached to the house. b) Another design is for a sunroom in the shape of a semicirele with the straight edge attached to the house. Detemine the perimeter of this room, not including the wall attached to the house. c) If the Shatzkins want to minimize the perimeter of the sunroom, not including the wall attached to the house, which design should they choose?

The Shatzkins are adding a sunroom to their house. They want the sunroom to have area 14.00 m². One wall of the sunroom will be part of their house. a) One design is for a rectangular sunroom. Determine the minimum possible perimeter of this room, not including the wall attached to the house. b) Another design is for a sunroom in the shape of a semicirele with the straight edge attached to the house. Detemine the perimeter of this room, not including the wall attached to the house. c) If the Shatzkins want to minimize the perimeter of the sunroom, not including the wall attached to the house, which design should they choose?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The Shatzkins are adding a sunroom to their house. They want the sunroom to have area 14.00 m'. One wall of the sunroom will be part of their house. a) One design is for a rectangular sunroom. Determine the minimum possible perimeter of this room, not including the wall attached to the house. b) Another design is for a sunroom in the shape of a semicircle with the straight edge attached to the house. Detemine the perimeter of this room, not including the wall attached to the house. c) If the Shatzkins want to minimize the perimeter of the sunroom, not including the wall attached to the house, which design should they choose?
Transcribed Image Text:The Shatzkins are adding a sunroom to their house. They want the sunroom to have area 14.00 m'. One wall of the sunroom will be part of their house. a) One design is for a rectangular sunroom. Determine the minimum possible perimeter of this room, not including the wall attached to the house. b) Another design is for a sunroom in the shape of a semicircle with the straight edge attached to the house. Detemine the perimeter of this room, not including the wall attached to the house. c) If the Shatzkins want to minimize the perimeter of the sunroom, not including the wall attached to the house, which design should they choose?
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