A rectangular playing field lies in the interior of an elliptical track that is 40 yards wide and 270 yards long. What is the width of the rectangular playing field if the width is located 15 yards from either vertex?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 38E: When the rectangle in the accompanying drawing whose dimensions are 16 by 9 is cut into pieces and...
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A rectangular playing field lies in the interior of an elliptical track that is 40 yards wide and 270 yards long. What is the width of the rectangular playing field if the width is located 15 yards from either vertex?

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