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?

Elementary Geometry For College Students, 7e
7th Edition
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
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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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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