A rectangle is constructed with its base on the diameter of a semicircle with radius 3 and with its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum area? The rectangle with maximum area has base and height. (Type exact answers, using radicals as needed.)

A rectangle is constructed with its base on the diameter of a semicircle with radius 3 and with its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum area? The rectangle with maximum area has base and height. (Type exact answers, using radicals as needed.)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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A rectangle is constructed with its base on the diameter of a semicircle with radius 3 and with its two other vertices on the semicircle. What are the dimensions of the
rectangle with maximum area?
The rectangle with maximum area has base
and height.
(Type exact answers, using radicals as needed.)

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