A high school is planning to build a new playing field surrounded by a running track. The track coach wants two laps around the track to be 1000 m.The football coach wants the rectangular infield area to be as large as possible. Can both coaches be satisfied?

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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A high school is planning to build a new playing field surrounded by a running track. The track coach wants two laps around the track to be 1000 m.The football coach wants the rectangular infield area to be as large as possible.
Can both coaches be satisfied? 

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