An indoor physical-fitness room consists of a rectangular region with a semicircle on each end (see figure). The perimeter of the room is to be a 200-meter running track. What measurements will produce a maximum area of the rectangle?

An indoor physical-fitness room consists of a rectangular region with a semicircle on each end (see figure). The perimeter of the room is to be a 200-meter running track. What measurements will produce a maximum area of the rectangle?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 26A: The container is in the shape of a frustum of a right circular cone. The smaller base area is 426...

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Question

An indoor physical-fitness room
consists of a rectangular region with a semicircle on
each end (see figure). The perimeter of the room is to be
a 200-meter running track. What measurements will
produce a maximum area of the rectangle?
y

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