1: Minimum perimeter (four sides) for a given area Abdul has 36 square patio tiles that have side measurements of 1 ft. He wants to surround the patio with railing to enclose it. To minimize the cost, he wants the perimeter to be as small a possible given that the area of the patio is 36 ft². Determine the dimensions of the rectangular patio that will minimize the cost. Diagram Length (m) Width (m) Perimeter (m) Area (m²)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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1: Minimum perimeter (four sides) for a given area
Abdul has 36 square patio tiles that have side measurements of 1 ft. He wants to surround the patio with
railing to enclose it. To minimize the cost, he wants the perimeter to be as small a possible given that the
area of the patio is 36 ft². Determine the dimensions of the rectangular patio that will minimize the cost.
Diagram
Length (m)
Width (m)
Perimeter (m)
Area (m²)
Transcribed Image Text:1: Minimum perimeter (four sides) for a given area Abdul has 36 square patio tiles that have side measurements of 1 ft. He wants to surround the patio with railing to enclose it. To minimize the cost, he wants the perimeter to be as small a possible given that the area of the patio is 36 ft². Determine the dimensions of the rectangular patio that will minimize the cost. Diagram Length (m) Width (m) Perimeter (m) Area (m²)
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