A track and field playing area is in the shape of a rectangle with semicircles at each end. See the figure. The inside perimeter of the track is to be 1200 meters. What should the dimensions of the rectangle be so that the area of the rectangle is maximized? The dimensions of the rectangle are (Use a comma to separate answers as needed. Type an integer or decimal rounded to the nearest hundredth as needed.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...
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A track and field playing area is in the
shape of a rectangle with semicircles at
each end. See the figure. The inside
perimeter of the track is to be 1200 meters.
What should the dimensions of the
rectangle be so that the area of the
rectangle is maximized?
The dimensions of the rectangle are
(Use a comma to separate answers as needed. Type an integer or decimal rounded to the nearest hundredth as needed.)
Transcribed Image Text:A track and field playing area is in the shape of a rectangle with semicircles at each end. See the figure. The inside perimeter of the track is to be 1200 meters. What should the dimensions of the rectangle be so that the area of the rectangle is maximized? The dimensions of the rectangle are (Use a comma to separate answers as needed. Type an integer or decimal rounded to the nearest hundredth as needed.)
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